Hendrik Lorentz

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Hendrik Antoon Lorentz
Hendrik Antoon Lorentz.jpg
Born(1853-07-18)18 July 1853
Arnhem, Netherlands
Died4 February 1928(1928-02-04) (aged 74)
Haarlem, Netherlands
NationalityNetherlands
Alma mater University of Leiden
Known for
Awards
Scientific career
Fields Physics
InstitutionsUniversity of Leiden
Doctoral advisor Pieter Rijke
Doctoral students

Hendrik Antoon Lorentz ( /ˈlɒrənts/ ; 18 July 1853 – 4 February 1928) was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Pieter Zeeman for the discovery and theoretical explanation of the Zeeman effect. He also derived the transformation equations underpinning Albert Einstein's theory of special relativity.

Physicist scientist who does research in physics

A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate causes of phenomena, and usually frame their understanding in mathematical terms. Physicists work across a wide range of research fields, spanning all length scales: from sub-atomic and particle physics, through biological physics, to cosmological length scales encompassing the universe as a whole. The field generally includes two types of physicists: experimental physicists who specialize in the observation of physical phenomena and the analysis of experiments, and theoretical physicists who specialize in mathematical modeling of physical systems to rationalize, explain and predict natural phenomena. Physicists can apply their knowledge towards solving practical problems or to developing new technologies.

Nobel Prize in Physics One of the five Nobel Prizes established in 1895 by Alfred Nobel

The Nobel Prize in Physics is a yearly award given by the Royal Swedish Academy of Sciences for those who have made the most outstanding contributions for mankind in the field of physics. It is one of the five Nobel Prizes established by the will of Alfred Nobel in 1895 and awarded since 1901; the others being the Nobel Prize in Chemistry, Nobel Prize in Literature, Nobel Peace Prize, and Nobel Prize in Physiology or Medicine.

Pieter Zeeman Dutch physicist

Pieter Zeeman was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Hendrik Lorentz for his discovery of the Zeeman effect.

Contents

According to the biography published by the Nobel Foundation, "It may well be said that Lorentz was regarded by all theoretical physicists as the world's leading spirit, who completed what was left unfinished by his predecessors and prepared the ground for the fruitful reception of the new ideas based on the quantum theory." [2] He received many honours and distinctions, including a term as chairman of the International Committee on Intellectual Cooperation, [3] the forerunner of UNESCO, between 1925 and 1928.

Nobel Foundation private institution managing the finances and administration of the Nobel Prizes

The Nobel Foundation is a private institution founded on 29 June 1900 to manage the finances and administration of the Nobel Prizes. The Foundation is based on the last will of Alfred Nobel, the inventor of dynamite.

Quantum mechanics Branch of physics that acts as an abstract framework formulating all the laws of nature

Quantum mechanics, including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

International Committee on Intellectual Cooperation

The International Committee on Intellectual Cooperation was an advisory organization for the League of Nations which aimed to promote international exchange between scientists, researchers, teachers, artists and intellectuals. Established in 1922, it counted such figures as Henri Bergson, Albert Einstein, Marie Curie, Gonzague de Reynold and Robert A. Millikan among its members. The Committee was the predecessor to UNESCO, and all of its properties were transferred to that organisation in 1946.

Biography

Early life

Hendrik Lorentz was born in Arnhem, Gelderland, Netherlands, the son of Gerrit Frederik Lorentz (1822–1893), a well-off horticulturist, and Geertruida van Ginkel (1826–1861). In 1862, after his mother's death, his father married Luberta Hupkes. Despite being raised as a Protestant, he was a freethinker in religious matters. [B 1] From 1866 to 1869, he attended the "Hogere Burger School" in Arnhem, a new type of public high school recently established by Johan Rudolph Thorbecke. His results in school were exemplary; not only did he excel in the physical sciences and mathematics, but also in English, French, and German. In 1870, he passed the exams in classical languages which were then required for admission to University. [B 2]

Arnhem City and municipality in Gelderland, Netherlands

Arnhem is a city and municipality situated in the eastern part of the Netherlands. It is the capital of the province of Gelderland and located on both banks of the rivers Nederrijn and Sint-Jansbeek, which was the source of the city's development. Arnhem had a population of 156,600 in 2017 and is one of the larger cities of the Netherlands. The municipality is part of the Arnhem–Nijmegen metropolitan area which has a combined 736,500 inhabitants.

Gelderland Province of the Netherlands

Gelderland, also known as Guelders in English, is a province of the Netherlands, located in the central eastern part of the country. With a land area of nearly 5,000 km2, it is the largest province of the Netherlands and shares borders with six other provinces and Germany.

Netherlands Constituent country of the Kingdom of the Netherlands in Europe

The Netherlands is a country located in Northwestern Europe with some overseas territories. In Europe, it consists of twelve provinces that border Germany to the east, Belgium to the south, and the North Sea to the northwest, with maritime borders in the North Sea with Belgium, Germany and the United Kingdom. Together with three island territories in the Caribbean Sea—Bonaire, Sint Eustatius and Saba—it forms a constituent country of the Kingdom of the Netherlands. The official language is Dutch, but a secondary official language in the province of Friesland is West Frisian.

Lorentz studied physics and mathematics at the Leiden University, where he was strongly influenced by the teaching of astronomy professor Frederik Kaiser; it was his influence that led him to become a physicist. After earning a bachelor's degree, he returned to Arnhem in 1871 to teach night school classes in mathematics, but he continued his studies in Leiden in addition to his teaching position. In 1875, Lorentz earned a doctoral degree under Pieter Rijke on a thesis entitled "Over de theorie der terugkaatsing en breking van het licht" (On the theory of reflection and refraction of light), in which he refined the electromagnetic theory of James Clerk Maxwell. [B 2] [4]

Physics Study of the fundamental properties of matter and energy

Physics is the natural science that studies matter, its motion and behavior through space and time, and that studies the related entities of energy and force. Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves.

Mathematics Field of study concerning quantity, patterns and change

Mathematics includes the study of such topics as quantity, structure (algebra), space (geometry), and change. It has no generally accepted definition.

Leiden University university in the Netherlands

Leiden University is a public research university in Leiden, Netherlands. Founded in 1575 by William, Prince of Orange, leader of the Dutch Revolt in the Eighty Years' War, it is the oldest university in the Netherlands. It is known for its historic foundations, emphasis on the social sciences, and student-run societies.

Career

Professor in Leiden

Portrait by Jan Veth Jan Veth05.jpg
Portrait by Jan Veth

On 17 November 1877, only 24 years of age, Hendrik Antoon Lorentz was appointed to the newly established chair in theoretical physics at the University of Leiden. The position had initially been offered to Johan van der Waals, but he accepted a position at the Universiteit van Amsterdam. [B 2] On 25 January 1878, Lorentz delivered his inaugural lecture on "De moleculaire theoriën in de natuurkunde" (The molecular theories in physics). In 1881, he became member of the Royal Netherlands Academy of Arts and Sciences. [5]

Johannes Diderik van der Waals Dutch physicist

Johannes Diderik van der Waals was a Dutch theoretical physicist and thermodynamicist famous for his work on an equation of state for gases and liquids.

Royal Netherlands Academy of Arts and Sciences Society of scientists and institute

The Royal Netherlands Academy of Arts and Sciences is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam.

During the first twenty years in Leiden, Lorentz was primarily interested in the electromagnetic theory of electricity, magnetism, and light. After that, he extended his research to a much wider area while still focusing on theoretical physics. Lorentz made significant contributions to fields ranging from hydrodynamics to general relativity. His most important contributions were in the area of electromagnetism, the electron theory, and relativity. [B 2]

General relativity Einsteins theory of gravitation as curved spacetime

General relativity is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics. General relativity generalizes special relativity and refines Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations.

Lorentz theorized that atoms might consist of charged particles and suggested that the oscillations of these charged particles were the source of light. When a colleague and former student of Lorentz's, Pieter Zeeman, discovered the Zeeman effect in 1896, Lorentz supplied its theoretical interpretation. The experimental and theoretical work was honored with the Nobel prize in physics in 1902. Lorentz' name is now associated with the Lorentz-Lorenz formula, the Lorentz force, the Lorentzian distribution, and the Lorentz transformation.

Electrodynamics and relativity

In 1892 and 1895, Lorentz worked on describing electromagnetic phenomena (the propagation of light) in reference frames that move relative to the postulated luminiferous aether. [6] [7] He discovered that the transition from one to another reference frame could be simplified by using a new time variable that he called local time and which depended on universal time and the location under consideration. Although Lorentz did not give a detailed interpretation of the physical significance of local time, with it, he could explain the aberration of light and the result of the Fizeau experiment. In 1900 and 1904, Henri Poincaré called local time Lorentz's "most ingenious idea" and illustrated it by showing that clocks in moving frames are synchronized by exchanging light signals that are assumed to travel at the same speed against and with the motion of the frame [8] [9] (see Einstein synchronisation and Relativity of simultaneity). In 1892, with the attempt to explain the Michelson-Morley experiment, Lorentz also proposed that moving bodies contract in the direction of motion (see length contraction; George FitzGerald had already arrived at this conclusion in 1889). [10]

In 1899 and again in 1904, Lorentz added time dilation to his transformations and published what Poincaré in 1905 named Lorentz transformations. [11] [12] It was apparently unknown to Lorentz that Joseph Larmor had used identical transformations to describe orbiting electrons in 1897. Larmor's and Lorentz's equations look somewhat dissimilar, but they are algebraically equivalent to those presented by Poincaré and Einstein in 1905. [B 3] Lorentz's 1904 paper includes the covariant formulation of electrodynamics, in which electrodynamic phenomena in different reference frames are described by identical equations with well defined transformation properties. The paper clearly recognizes the significance of this formulation, namely that the outcomes of electrodynamic experiments do not depend on the relative motion of the reference frame. The 1904 paper includes a detailed discussion of the increase of the inertial mass of rapidly moving objects in a useless attempt to make momentum look exactly like Newtonian momentum; it was also an attempt to explain the length contraction as the accumulation of "stuff" onto mass making it slow and contract.

Lorentz and special relativity

Albert Einstein and Hendrik Antoon Lorentz, photographed by Ehrenfest in front of his home in Leiden in 1921. Einstein en Lorentz.jpg
Albert Einstein and Hendrik Antoon Lorentz, photographed by Ehrenfest in front of his home in Leiden in 1921.
Lorentz (left) at the International Committee on Intellectual Cooperation of the League of Nations, here with Albert Einstein. League of Nations Commission 067.tif
Lorentz (left) at the International Committee on Intellectual Cooperation of the League of Nations, here with Albert Einstein.

In 1905, Einstein would use many of the concepts, mathematical tools and results Lorentz discussed to write his paper entitled "On the Electrodynamics of Moving Bodies", [13] known today as the theory of special relativity. Because Lorentz laid the fundamentals for the work by Einstein, this theory was originally called the Lorentz-Einstein theory. [B 4]

In 1906, Lorentz's electron theory received a full-fledged treatment in his lectures at Columbia University, published under the title The Theory of Electrons.

The increase of mass was the first prediction of Lorentz and Einstein to be tested, but some experiments by Kaufmann appeared to show a slightly different mass increase; this led Lorentz to the famous remark that he was "au bout de mon latin" ("at the end of my [knowledge of] Latin" = at his wit's end) [14] The confirmation of his prediction had to wait until 1908 and later (see Kaufmann–Bucherer–Neumann experiments).

Lorentz published a series of papers dealing with what he called "Einstein's principle of relativity". For instance, in 1909, [15] 1910, [16] [17] 1914. [18] In his 1906 lectures published with additions in 1909 in the book "The theory of electrons" (updated in 1915), he spoke affirmatively of Einstein's theory: [15]

It will be clear by what has been said that the impressions received by the two observers A0 and A would be alike in all respects. It would be impossible to decide which of them moves or stands still with respect to the ether, and there would be no reason for preferring the times and lengths measured by the one to those determined by the other, nor for saying that either of them is in possession of the "true" times or the "true" lengths. This is a point which Einstein has laid particular stress on, in a theory in which he starts from what he calls the principle of relativity, [...] I cannot speak here of the many highly interesting applications which Einstein has made of this principle. His results concerning electromagnetic and optical phenomena ... agree in the main with those which we have obtained in the preceding pages, the chief difference being that Einstein simply postulates what we have deduced, with some difficulty and not altogether satisfactorily, from the fundamental equations of the electromagnetic field. By doing so, he may certainly take credit for making us see in the negative result of experiments like those of Michelson, Rayleigh and Brace, not a fortuitous compensation of opposing effects, but the manifestation of a general and fundamental principle. [...] It would be unjust not to add that, besides the fascinating boldness of its starting point, Einstein's theory has another marked advantage over mine. Whereas I have not been able to obtain for the equations referred to moving axes exactly the same form as for those which apply to a stationary system, Einstein has accomplished this by means of a system of new variables slightly different from those which I have introduced.

Though Lorentz still maintained that there is an (undetectable) aether in which resting clocks indicate the "true time":

1909: Yet, I think, something may also be claimed in favour of the form in which I have presented the theory. I cannot but regard the ether, which can be the seat of an electromagnetic field with its energy and its vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter. [15]
1910: Provided that there is an aether, then under all systems x, y, z, t, one is preferred by the fact, that the coordinate axes as well as the clocks are resting in the aether. If one connects with this the idea (which I would abandon only reluctantly) that space and time are completely different things, and that there is a "true time" (simultaneity thus would be independent of the location, in agreement with the circumstance that we can have the idea of infinitely great velocities), then it can be easily seen that this true time should be indicated by clocks at rest in the aether. However, if the relativity principle had general validity in nature, one wouldn't be in the position to determine, whether the reference system just used is the preferred one. Then one comes to the same results, as if one (following Einstein and Minkowski) deny the existence of the aether and of true time, and to see all reference systems as equally valid. Which of these two ways of thinking one is following, can surely be left to the individual. [16]

Lorentz also gave credit to Poincaré's contributions to relativity. [19]

Indeed, for some of the physical quantities which enter the formulas, I did not indicate the transformation which suits best. That was done by Poincaré and then by Mr. Einstein and Minkowski [...] I did not succeed in obtaining the exact invariance of the equations [...] Poincaré, on the contrary, obtained a perfect invariance of the equations of electrodynamics, and he formulated the "postulate of relativity", terms which he was the first to employ. [...] Let us add that by correcting the imperfections of my work he never reproached me for them.

Lorentz and general relativity

Lorentz was one of few scientists who supported Einstein's search for general relativity from the beginning – he wrote several research papers and discussed with Einstein personally and by letter. [B 5] For instance, he attempted to combine Einstein's formalism with Hamilton's principle (1915), [20] and to reformulate it in a coordinate-free way (1916). [21] [B 6] Lorentz wrote in 1919: [22]

The total eclipse of the sun of May 29, resulted in a striking confirmation of the new theory of the universal attractive power of gravitation developed by Albert Einstein, and thus reinforced the conviction that the defining of this theory is one of the most important steps ever taken in the domain of natural science.

Lorentz and quantum mechanics

Lorentz gave a series of lectures in the Fall of 1926 at Cornell University on the new quantum mechanics; in these he presented Erwin Schrödinger's wave mechanics. [23]

Assessments

Einstein wrote of Lorentz:

1928: The enormous significance of his work consisted therein, that it forms the basis for the theory of atoms and for the general and special theories of relativity. The special theory was a more detailed expose of those concepts which are found in Lorentz's research of 1895. [B 7]
1953: For me personally he meant more than all the others I have met on my life's journey. [B 8]

Poincaré (1902) said of Lorentz's theory of electrodynamics: [24]

The most satisfactory theory is that of Lorentz; it is unquestionably the theory that best explains the known facts, the one that throws into relief the greatest number of known relations ... it is due to Lorentz that the results of Fizeau on the optics of moving bodies, the laws of normal and abnormal dispersion and of absorption are connected with each other ... Look at the ease with which the new Zeeman phenomenon found its place, and even aided the classification of Faraday's magnetic rotation, which had defied all Maxwell's efforts.

Paul Langevin (1911) said of Lorentz: [B 9]

It will be Lorentz's main claim to fame that he demonstrated that the fundamental equations of electromagnetism also allow of a group of transformations that enables them to resume the same form when a transition is made from one reference system to another. This group differs fundamentally from the above group as regards transformations of space and time.''

Lorentz and Emil Wiechert had an interesting correspondence on the topics of electromagnetism and the theory of relativity, and Lorentz explained his ideas in letters to Wiechert. [B 10]

Lorentz was chairman of the first Solvay Conference held in Brussels in the autumn of 1911. Shortly after the conference, Poincaré wrote an essay on quantum physics which gives an indication of Lorentz's status at the time: [25]

... at every moment [the twenty physicists from different countries] could be heard talking of the [quantum mechanics] which they contrasted with the old mechanics. Now what was the old mechanics? Was it that of Newton, the one which still reigned uncontested at the close of the nineteenth century? No, it was the mechanics of Lorentz, the one dealing with the principle of relativity; the one which, hardly five years ago, seemed to be the height of boldness.

Change of priorities

In 1910, Lorentz decided to reorganize his life. His teaching and management duties at Leiden University were taking up too much of his time, leaving him little time for research. In 1912, he resigned from his chair of theoretical physics to become curator of the "Physics Cabinet" at Teylers Museum in Haarlem. He remained connected to Leiden University as an external professor, and his "Monday morning lectures" on new developments in theoretical physics soon became legendary. [B 2]

Lorentz initially asked Einstein to succeed him as professor of theoretical physics at Leiden. However, Einstein could not accept because he had just accepted a position at ETH Zurich. Einstein had no regrets in this matter, since the prospect of having to fill Lorentz's shoes made him shiver. Instead Lorentz appointed Paul Ehrenfest as his successor in the chair of theoretical physics at the Leiden University, who would found the Institute for Theoretical Physics which would become known as the Lorentz Institute. [B 2]

Civil work

After World War I, Lorentz was one of the driving forces behind the founding of the "Wetenschappelijke Commissie van Advies en Onderzoek in het Belang van Volkswelvaart en Weerbaarheid", a committee which was to harness the scientific potential united in the Royal Netherlands Academy of Arts and Sciences (KNAW) for solving civil problems such as food shortage which had resulted from the war. Lorentz was appointed chair of the committee. However, despite the best efforts of many of the participants the committee would harvest little success. The only exception being that it ultimately resulted in the founding of TNO, the Netherlands Organisation for Applied Scientific Research. [B 2]

Lorentz was also asked by the Dutch government to chair a committee to calculate some of the effects of the proposed Afsluitdijk (Enclosure Dam) flood control dam on water levels in the Waddenzee. Hydraulic engineering was mainly an empirical science at that time, but the disturbance of the tidal flow caused by the Afsluitdijk was so unprecedented that the empirical rules could not be trusted. Originally Lorentz was only supposed to have a coordinating role in the committee, but it quickly became apparent that Lorentz was the only physicist to have any fundamental traction on the problem. In the period 1918 till 1926, Lorentz invested a large portion of his time in the problem. [26] Lorentz proposed to start from the basic hydrodynamic equations of motion and solve the problem numerically. This was feasible for a "human computer", because of the quasi-one-dimensional nature of the water flow in the Waddenzee. The Afsluitdijk was completed in 1932, and the predictions of Lorentz and his committee turned out to be remarkably accurate. [B 11] [B 2] One of the two sets of locks in the Afsluitdijk was named after him.

Family life

In 1881, Lorentz married Aletta Catharina Kaiser. Her father was J.W. Kaiser, a professor at the Academy of Fine Arts. He was the Director of the museum which later became the well-known Rijksmuseum (National Gallery). He also was the designer of the first postage stamps of The Netherlands.

There were two daughters, and one son from this marriage.

Dr. Geertruida Luberta Lorentz, the eldest daughter, was a physicist. She married Professor W.J. de Haas, who was the Director of the Cryogenic Laboratory at the University of Leiden. [27]

Death

In January 1928, Lorentz became seriously ill, and died shortly after on February 4. [B 2] The respect in which he was held in the Netherlands is apparent from Owen Willans Richardson's description of his funeral:

The funeral took place at Haarlem at noon on Friday, February 10. At the stroke of twelve the State telegraph and telephone services of Holland were suspended for three minutes as a revered tribute to the greatest man the Netherlands has produced in our time. It was attended by many colleagues and distinguished physicists from foreign countries. The President, Sir Ernest Rutherford, represented the Royal Society and made an appreciative oration by the graveside.

O. W. Richardson [B 12]

Unique 1928 film footage of the funeral procession with a lead carriage followed by ten mourners, followed by a carriage with the coffin, followed in turn by at least four more carriages, passing by a crowd at the Grote Markt, Haarlem from the Zijlstraat to the Smedestraat, and then back again through the Grote Houtstraat towards the Barteljorisstraat, on the way to the "Algemene Begraafplaats" at the Kleverlaan (northern Haarlem cemetery) has been digitized on YouTube. [B 13] Einstein gave a eulogy at a memorial service at Leiden University.

Legacy

Lorentz is considered one of the prime representatives of the "Second Dutch Golden Age", a period of several decades surrounding 1900 in which in the natural sciences in the Netherlands flourished. [B 2]

Richardson describes Lorentz as:

[A] man of remarkable intellectual powers ... . Although steeped in his own investigation of the moment, he always seemed to have in his immediate grasp its ramifications into every corner of the universe. ... The singular clearness of his writings provides a striking reflection of his wonderful powers in this respect. .... He possessed and successfully employed the mental vivacity which is necessary to follow the interplay of discussion, the insight which is required to extract those statements which illuminate the real difficulties, and the wisdom to lead the discussion among fruitful channels, and he did this so skillfully that the process was hardly perceptible. [B 12]

M. J. Klein (1967) wrote of Lorentz's reputation in the 1920s:

For many years physicists had always been eager "to hear what Lorentz will say about it" when a new theory was advanced, and, even at seventy-two, he did not disappoint them. [B 14]

In addition to the Nobel prize, Lorentz received a great many honours for his outstanding work. He was elected a Foreign Member of the Royal Society (ForMemRS) in 1905. [1] The Society awarded him their Rumford Medal in 1908 and their Copley Medal in 1918. He was elected an Honorary Member of the Netherlands Chemical Society in 1912. [28]

See also

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References

  1. 1 2 "Fellows of the Royal Society". London: Royal Society. Archived from the original on 2015-03-16.
  2. Hendrik A. Lorentz – Biographical, Nobelprize.org (retrieved: 4 November 2015)
  3. Grandjean, Martin (2018). Les réseaux de la coopération intellectuelle. La Société des Nations comme actrice des échanges scientifiques et culturels dans l'entre-deux-guerres [The Networks of Intellectual Cooperation. The League of Nations as an Actor of the Scientific and Cultural Exchanges in the Inter-War Period] (in French). Lausanne: Université de Lausanne.
  4. Hendrik Lorentz (1875). "Over de theorie der terugkaatsing en breking van het licht" (PDF).
  5. "Hendrik Antoon Lorentz (1853 - 1928)". Royal Netherlands Academy of Arts and Sciences. Retrieved 17 July 2015.
  6. Lorentz, Hendrik Antoon (1892), "La Théorie electromagnétique de Maxwell et son application aux corps mouvants", Archives Néerlandaises des Sciences Exactes et Naturelles, 25: 363–552
  7. Lorentz, Hendrik Antoon (1895), Versuch einer Theorie der electrischen und optischen Erscheinungen in bewegten Körpern  , Leiden: E.J. Brill
  8. Poincaré, Henri (1900), "La théorie de Lorentz et le principe de réaction"  , Archives Néerlandaises des Sciences Exactes et Naturelles, 5: 252–278. See also the English translation.
  9. Poincaré, Henri (1904), "The Principles of Mathematical Physics"  , Congress of arts and science, universal exposition, St. Louis, 1904, 1, Boston and New York: Houghton, Mifflin and Company, pp. 604–622
  10. Lorentz, Hendrik Antoon (1892b), "The Relative Motion of the Earth and the Aether"  , Zittingsverlag Akad. V. Wet., 1: 74–79
  11. Lorentz, Hendrik Antoon (1899), "Simplified Theory of Electrical and Optical Phenomena in Moving Systems"  , Proceedings of the Royal Netherlands Academy of Arts and Sciences, 1: 427–442, Bibcode:1898KNAB....1..427L
  12. Lorentz, Hendrik Antoon (1904), "Electromagnetic phenomena in a system moving with any velocity smaller than that of light"  , Proceedings of the Royal Netherlands Academy of Arts and Sciences, 6: 809–831, Bibcode:1903KNAB....6..809L
  13. Einstein, Albert (1905), "Zur Elektrodynamik bewegter Körper" (PDF), Annalen der Physik, 322 (10): 891–921, Bibcode:1905AnP...322..891E, doi:10.1002/andp.19053221004 . See also: English translation.
  14. "Lorentz à Poincaré". Archived from the original on February 21, 2005. Retrieved 2017-03-31.
  15. 1 2 3 Lorentz, Hendrik Antoon (1916), The theory of electrons and its applications to the phenomena of light and radiant heat; a course of lectures delivered in Columbia University, New York, in March and April 1906, New York: Columbia University Press[ failed verification ]
  16. 1 2 Lorentz, Hendrik Antoon (1910) [1913]. "Das Relativitätsprinzip und seine Anwendung auf einige besondere physikalische Erscheinungen"  . In Blumenthal, Otto; Sommerfeld, Arnold (eds.). Das Relativitätsprinzip. Eine Sammlung von Abhandlungen. pp. 74–89.
  17. Lorentz, Hendrik Antoon (1931) [1910], Lectures on theoretical physics, Vol. 3, London: MacMillan
  18. Lorentz, Hendrik Antoon (1914). Das Relativitätsprinzip. Drei Vorlesungen gehalten in Teylers Stiftung zu Haarlem (1913)  . Leipzig and Berlin: B.G. Teubner.
  19. Lorentz, Hendrik Antoon (1921) [1914], "Deux Mémoires de Henri Poincaré sur la Physique Mathématique"  , Acta Mathematica, 38 (1): 293–308, doi:10.1007/BF02392073
  20. Lorentz, Hendrik Antoon (1915), "On Hamilton's principle in Einstein's theory of gravitation"  , Proceedings of the Royal Netherlands Academy of Arts and Sciences, 19: 751–765, Bibcode:1917KNAB...19..751L
  21. Lorentz, Hendrik Antoon (1916), "On Einstein's Theory of gravitation I–IV"  , Proceedings of the Royal Netherlands Academy of Arts and Sciences, 19/20: 1341–1361, 2–34
  22. Lorentz, Hendrik Antoon (1920), The Einstein Theory of Relativity  , New York: Bentano's
  23. Lorentz, H. A. (1926). The New Quantum Theory (PDF). Ithaca, NY: Typescript of Lecture Notes. Retrieved August 12, 2016.
  24. Poincaré, Henri (1902), Science and Hypothesis, London and Newcastle-on-Cyne (1905): The Walter Scott publishing Co.
  25. Poincaré, Henri (1913), Last Essays, New York
  26. "Lorenz - the Grand Old Man of Physics", Radio Netherlands Archives, March 13, 2000
  27. https://www.nobelprize.org/nobel_prizes/physics/laureates/1902/lorentz-bio.html Nobel Prize biography
  28. Honorary members – website of the Royal Netherlands Chemical Society

Primary sources

Secondary sources

  1. Russell McCormmach. "Lorentz, Hendrik Antoon". Complete Dictionary of Scientific Biography. Retrieved 25 April 2012. Although he grew up in Protestant circles, he was a freethinker in religious matters; he regularly attended the local French church to improve his French.
  2. 1 2 3 4 5 6 7 8 9 10 Kox, Anne J. (2011). "Hendrik Antoon Lorentz (in Dutch)". Nederlands Tijdschirft voor Natuurkunde. 77 (12): 441.
  3. Macrossan, Michael N. (1986), "A note on relativity before Einstein", Br. J. Philos. Sci., 37 (2): 232–34, CiteSeerX   10.1.1.679.5898 , doi:10.1093/bjps/37.2.232
  4. Miller, Arthur I. (1981). Albert Einstein's special theory of relativity. Emergence (1905) and early interpretation (1905–1911). Reading: Addison–Wesley. ISBN   978-0-201-04679-3.
  5. Kox, A.J. (1993). "Einstein, Lorentz, Leiden and general relativity". Class. Quantum Grav. 10: S187–S191. Bibcode:1993CQGra..10S.187K. doi:10.1088/0264-9381/10/S/020.
  6. Janssen, M. (1992). "H. A. Lorentz's Attempt to Give a Coordinate-free Formulation of the General. Theory of Relativity.". Studies in the History of General Relativity. Boston: Birkhäuser. pp. 344–363. ISBN   978-0817634797.
  7. Pais, Abraham (1982), Subtle is the Lord: The Science and the Life of Albert Einstein, New York: Oxford University Press, ISBN   978-0-19-520438-4
  8. Justin Wintle (2002). Makers of Nineteenth Century Culture: 1800–1914. Routledge. pp. 375–. ISBN   978-0-415-26584-3 . Retrieved 25 July 2012.
  9. Langevin, P. (1911), "The evolution of space and time", Scientia, X: 31–54 (translated by J. B. Sykes, 1973).
  10. (Arch. ex. hist. Sci, 1984).
  11. "Carlo Beenakker". Ilorentz.org. Retrieved 2012-02-01.
  12. 1 2 Richardson, O. W. (1929), "Hendrik Antoon Lorentz", J. London Math. Soc. , 4 (1): 183–92, doi:10.1112/jlms/s1-4.3.183 . The biography which refers to this article (but gives no pagination details other than those of the article itself) is O'Connor, John J.; Robertson, Edmund F., "Hendrik Lorentz", MacTutor History of Mathematics archive , University of St Andrews .
  13. Funeral procession on YouTube Hendrik Lorentz
  14. Przibram, Karl, ed. (1967), Letters of wave mechanics: Schrödinger, Planck, Einstein, Lorentz. Edited by Karl Przibram for the Austrian Academy of Sciences, translated by Klein, Martin J., New York: Philosophical Library