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This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical order.

- Feynman, Richard P. (2005).
*The Feynman Lectures on Physics*.**1**(2nd ed.). Addison-Wesley. ISBN 978-0-8053-9065-0.

- Hamill, Patrick (2014).
*A Student's Guide to Lagrangians and Hamiltonians*. Cambridge University Press. ISBN 978-1107617520. - Hand, Louis; Finch, Janet (1998).
*Analytical Mechanics*. Cambridge University Press. ISBN 0521573270. - Kibble, T. W.; Berkshire, F. H. (2004).
*Classical Mechanics*. Imperial College Press. ISBN 1860944248. - Kleppner, Daniel; Kolenkow, Robert (1973).
*An Introduction to Mechanics*. McGraw-Hill. ISBN 0-07-035048-5. - Knauf, Andreas (2018).
*Mathematical Physics: Classical Mechanics*. Springer. ISBN 9783662557723. - Marion, Jerry; Thornton, Stephen (2003).
*Classical Dynamics of Particles and Systems*(5th ed.). Brooks Cole. ISBN 0534408966. - Morin, David (2005).
*Introduction to Classical Mechanics: With Problems and Solutions*. Cambridge University Press. ISBN 9780521876223. - Müller-Kirsten, Harald J.W. (2008).
*Classical Mechanics and Relativity*. World Scientific. ISBN 9789812832528. - Taylor, John (2005).
*Classical Mechanics*. University Science Books. ISBN 189138922X.

- Cohen-Tannoudji, Claude; Diu, Bernard; Laloë, Franck (1977).
*Quantum Mechanics*. Wiley. ISBN 978-0471164333. Three volumes. - Eisberg, Robert; Resnick, Robert (1985).
*Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles*(2nd ed.). Wiley & Sons. ISBN 978-0471873730. - Feynman, Richard P. (2005).
*The Feynman Lectures on Physics*.**3**(2nd ed.). Addison-Wesley. ISBN 978-0-8053-9065-0. - French, A. P.; Taylor, Edwin (1978).
*An Introduction to Quantum Physics*. W. W. Norton & Company. ISBN 0393091066. - Gasiorowicz, Stephen (2003).
*Quantum Physics*(3rd ed.). Wiley. ISBN 978-0471057000. - Griffiths, David (2005).
*Introduction to Quantum Mechanics*(2nd ed.). Pearson Prentice Hall. ISBN 0131118927. - McIntyre, David H. (2012).
*Quantum Mechanics: A Paradigms Approach*(1st ed.). Pearson Addison-Wesley. ISBN 978-0-321-76579-6. - Townsend, John (2012).
*A Modern Approach to Quantum Mechanics*(2nd ed.). University Science Books. ISBN 978-1-891389-78-8. - Zettili, Nouredine (2009).
*Quantum Mechanics: Concepts and Applications*. Chichester, UK: Wiley. ISBN 978-0470026793.

- Arnol'd, Vladimir (1978).
*Mathematical Methods of Classical Mechanics*. Springer-Verlag. ISBN 0387968903. - Abraham, Ralph; Marsden, Jerrold (1978).
*Foundations of Mechanics*. Addison-Wesley. - Goldstein, Herbert (1980).
*Classical Mechanics*(2 ed.). Addison-Wesley. ISBN 0201029189. - Lanczos, Cornelius (1986).
*The Variational Principles of Mechanics*(4th ed.). Dover Publications. ISBN 0486650677. - Landau, L. D.; Lifshitz, E. M. (1976).
*Course of Theoretical Physics Volume 1 - Mechanics*. Translated by Sykes, J. B.; Bell, J. S. (3rd ed.). Elsevier. ISBN 0-7506-2896-0. - Whittaker, E. T. (1999).
*A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies*(4th ed.). Cambridge University Press. ISBN 0-521-35883-3. - Sommerfeld, Arnold (1952).
*Mechanics: lectures on theoretical physics*. New York: Academic Press Inc. ISBN 978-0-12-654670-5. OCLC 803152309. - Fetter, Alexander L; Walecka, John Dirk (1980).
*Theoretical mechanics of particles and continua*. New York: McGraw-Hill. ISBN 978-0-07-020658-8. OCLC 6110997.

- Dirac, Paul (1981).
*The Principles of Quantum Mechanics*(4th ed.). Oxford Science Publications. ISBN 978-0198520115. - Feynman, Richard; Hibbs, Albert (2010). Styer, Daniel (ed.).
*Quantum Mechanics and Path Integrals*. Dover Publications. ISBN 9780486477220. - Landau, L. D, and Lifshitz, E. M.
*Course of Theoretical Physics Volume 3 - Quantum Mechanics: Non-Relativistic Theory*. Edited by Pitaevskiĭ L. P. Translated by J. B Sykes and J. S Bell, Third edition, revised and enlarged ed., Pergamon Press, 1977. ISBN 0080291406. - Peres, Asher (1993).
*Quantum Theory: Concepts and Methods*. Kluwer. ISBN 0-7923-2549-4. OCLC 28854083. - Müller-Kirsten, Harald J.W. (2012).
*Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral*(2nd ed.). World Scientific. ISBN 9789814397735. - Sakurai, J. J.; Napolitano, Jim (2017).
*Modern Quantum Mechanics*(2nd ed.). Cambridge University Press. ISBN 978-1-108-42241-3. - Shankar, Ramamurti (2011).
*Principles of Quantum Mechanics*(2nd ed.). Plenum Press. ISBN 978-0306447907. - von Neumann, John (2018). Nicholas A. Wheeler (ed.).
*Mathematical Foundations of Quantum Mechanics*. Translated by Robert T. Beyer. Princeton University Press. ISBN 9781400889921.

- Byron, Frederick W.; Fuller, Robert W. (1992).
*Mathematics of Classical and Quantum Physics*(Revised ed.). Dover Publications. ISBN 978-0486671642. - Thorne, Kip S.; Blandford, Roger D. (2017).
*Modern Classical Physics: Optics, Fluids, Plasmas, Elasticity, Relativity, and Statistical Physics*. Princeton University Press. ISBN 978-0691159027. - Weinstock, Robert (1974).
*Calculus of Variations with Applications to Physics and Engineering*. Dover Publications. ISBN 978-0486630694.

- A Physics Book List. John Baez. Department of Mathematics, University of California, Riverside. 1993-1997.

**Physics** is the natural science that studies matter, its motion and behavior through space and time, and 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.

**Quantum gravity** (**QG**) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics, and where quantum effects cannot be ignored, such as in the vicinity of black holes or similar compact astrophysical objects where the effects of gravity are strong, such as neutron stars.

**Mathematical physics** refers to the development of mathematical methods for application to problems in physics. The *Journal of Mathematical Physics* defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories".

In physics, a **gravitational field** is a model used to explain the influence that a massive body extends into the space around itself, producing a force on another massive body. Thus, a gravitational field is used to explain gravitational phenomena, and is measured in newtons per kilogram (N/kg). In its original concept, gravity was a force between point masses. Following Isaac Newton, Pierre-Simon Laplace attempted to model gravity as some kind of radiation field or fluid, and since the 19th century, explanations for gravity have usually been taught in terms of a field model, rather than a point attraction.

In physics and chemistry, the **law of conservation of momentum** states that the momentum of an isolated system remains constant. Momentum is therefore said to be *conserved* over time; that is, momentum is neither created nor destroyed, only transformed or transferred from one form to another.

In science and especially in mathematical studies, a **variational principle** is one that enables a problem to be solved using calculus of variations, which concerns finding such functions which optimize the values of quantities that depend upon those functions. For example, the problem of determining the shape of a hanging chain suspended at both ends—a catenary—can be solved using variational calculus, and in this case, the variational principle is the following: The solution is a function that minimizes the gravitational potential energy of the chain.

**Semiclassical physics**, or simply **semiclassical** refers to a theory in which one part of a system is described quantum-mechanically whereas the other is treated classically. For example, external fields will be constant, or when changing will be classically described. In general, it incorporates a development in powers of Planck's constant, resulting in the classical physics of power 0, and the first nontrivial approximation to the power of (−1). In this case, there is a clear link between the quantum-mechanical system and the associated semi-classical and classical approximations, as it is similar in appearance to the transition from physical optics to geometric optics.

In theoretical physics and applied mathematics, a **field equation** is a partial differential equation which determines the dynamics of a physical field, specifically the time evolution and spatial distribution of the field. The solutions to the equation are mathematical functions which correspond directly to the field, as functions of time and space. Since the field equation is a partial differential equation, there are families of solutions which represent a variety of physical possibilities. Usually, there is not just a single equation, but a set of coupled equations which must be solved simultaneously. Field equations are not ordinary differential equations since a field depends on space and time, which requires at least two variables.

In physics, **relativistic quantum mechanics (RQM)** is any Poincaré covariant formulation of quantum mechanics (QM). This theory is applicable to massive particles propagating at all velocities up to those comparable to the speed of light *c*, and can accommodate massless particles. The theory has application in high energy physics, particle physics and accelerator physics, as well as atomic physics, chemistry and condensed matter physics. *Non-relativistic quantum mechanics* refers to the mathematical formulation of quantum mechanics applied in the context of Galilean relativity, more specifically quantizing the equations of classical mechanics by replacing dynamical variables by operators. *Relativistic quantum mechanics* (RQM) is quantum mechanics applied with special relativity. Although the earlier formulations, like the Schrödinger picture and Heisenberg picture were originally formulated in a non-relativistic background, a few of them also work with special relativity.

In classical mechanics, **analytical dynamics**, or more briefly **dynamics**, is concerned with the relationship between motion of bodies and its causes, namely the forces acting on the bodies and the properties of the bodies, particularly mass and moment of inertia. The foundation of modern-day dynamics is Newtonian mechanics and its reformulation as Lagrangian mechanics and Hamiltonian mechanics.

**Classical mechanics** is a physical theory describing the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies. For objects governed by classical mechanics, if the present state is known, it is possible to predict how it will move in the future (determinism) and how it has moved in the past (reversibility).

**Theoretical physics** is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimental tools to probe these phenomena.

Physics deals with the combination of matter and energy. It also deals with a wide variety of systems, about which theories have been developed that are used by physicists. In general, theories are experimentally tested numerous times before they are accepted as correct as a description of Nature. For instance, the theory of classical mechanics accurately describes the motion of objects, provided they are much larger than atoms and moving at much less than the speed of light. These "central theories" are important tools for research in more specialized topics, and any physicist, regardless of his or her specialization, is expected to be literate in them.

The * Course of Theoretical Physics* is a ten-volume series of books covering theoretical physics that was initiated by Lev Landau and written in collaboration with his student Evgeny Lifshitz starting in the late 1930s.

In physics, a **field** is a physical quantity, represented by a number, or tensor, that has a value for each point in space and time. For example, on a weather map, the surface temperature is described by assigning a number to each point on the map; the temperature can be considered at a certain point in time or over some interval of time, to study the dynamics of temperature change. A surface wind map, assigning an arrow to each point on a map that describes the wind speed and direction at that point, would be an example of a vector field, i.e. a 1-dimensional tensor field. Field theories, mathematical descriptions of how field values change in space and time, are ubiquitous in physics. For instance, the electric field is another rank-1 tensor field, and the full description of electrodynamics can be formulated in terms of two interacting vector fields at each point in space-time, or as a single-rank 2-tensor field theory.

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