Dirac hole theory

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Dirac hole theory is a theory in quantum mechanics, named after English theoretical physicist Paul Dirac, who introduced it in 1929. [1] The theory poses that the continuum of negative energy states, that are solutions to the Dirac equation, are filled with electrons, and the vacancies in this continuum (holes) are manifested as positrons with energy and momentum that are the negative of those of the state. [2] The discovery of the positron in 1929 gave a considerable support to the Dirac hole theory. [3]

While Enrico Fermi, Niels Bohr and Wolfgang Pauli were skeptical about the theory, other physicists, like Guido Beck and Kurt Sitte, made use of Dirac hole theory in alternative theories of beta decay. [4] Gian Wick extended Dirac hole theory to cover neutrinos, introducing the anti-neutrino as a hole in a neutrino Dirac sea. [4]

Pair production and Annihilation

Hole theory provides an alternative perspective on the processes of pair production and annihilation - when a photon of sufficient energy is incident upon an occupied state in the negative energy 'sea', it can excite an electron into the positive energy region, creating both an observable electron while creating a vacant state (hole) in the negative energy region - an anti-electron, or more commonly, a positron. [5]

Conversely, due to the principle of least action, the close proximity of an electron and positron presents an opportunity for the electron to de-excite, releasing a photon, reducing the overall energy of the system - this is observationally identical to the process of annihilation.

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<span class="mw-page-title-main">Antimatter</span> Material composed of antiparticles of the corresponding particles of ordinary matter

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<span class="mw-page-title-main">Antiparticle</span> Particle with opposite charges

In particle physics, every type of particle of "ordinary" matter is associated with an antiparticle with the same mass but with opposite physical charges. For example, the antiparticle of the electron is the positron. While the electron has a negative electric charge, the positron has a positive electric charge, and is produced naturally in certain types of radioactive decay. The opposite is also true: the antiparticle of the positron is the electron.

<span class="mw-page-title-main">Electron</span> Elementary particle with negative charge

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<span class="mw-page-title-main">Particle physics</span> Study of subatomic particles and forces

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<span class="mw-page-title-main">Positron</span> Anti-particle to the electron

The positron or antielectron is the particle with an electric charge of +1e, a spin of 1/2, and the same mass as an electron. It is the antiparticle of the electron. When a positron collides with an electron, annihilation occurs. If this collision occurs at low energies, it results in the production of two or more photons.

<span class="mw-page-title-main">Positronium</span> Bound state of an electron and positron

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<span class="mw-page-title-main">Pair production</span> Interaction of a photon with matter resulting into creation of electron-positron pair

Pair production is the creation of a subatomic particle and its antiparticle from a neutral boson. Examples include creating an electron and a positron, a muon and an antimuon, or a proton and an antiproton. Pair production often refers specifically to a photon creating an electron–positron pair near a nucleus. As energy must be conserved, for pair production to occur, the incoming energy of the photon must be above a threshold of at least the total rest mass energy of the two particles created. Conservation of energy and momentum are the principal constraints on the process. All other conserved quantum numbers of the produced particles must sum to zero – thus the created particles shall have opposite values of each other. For instance, if one particle has electric charge of +1 the other must have electric charge of −1, or if one particle has strangeness of +1 then another one must have strangeness of −1.

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<span class="mw-page-title-main">Dirac sea</span> Theoretical model of the vacuum

The Dirac sea is a theoretical model of the electron vacuum as an infinite sea of electrons with negative energy, now called positrons. It was first postulated by the British physicist Paul Dirac in 1930 to explain the anomalous negative-energy quantum states predicted by the Dirac equation for relativistic electrons. The positron, the antimatter counterpart of the electron, was originally conceived of as a hole in the Dirac sea, before its experimental discovery in 1932.

<span class="mw-page-title-main">Annihilation</span> Collision of a particle and its antiparticle

In particle physics, annihilation is the process that occurs when a subatomic particle collides with its respective antiparticle to produce other particles, such as an electron colliding with a positron to produce two photons. The total energy and momentum of the initial pair are conserved in the process and distributed among a set of other particles in the final state. Antiparticles have exactly opposite additive quantum numbers from particles, so the sums of all quantum numbers of such an original pair are zero. Hence, any set of particles may be produced whose total quantum numbers are also zero as long as conservation of energy, conservation of momentum, and conservation of spin are obeyed.

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<span class="mw-page-title-main">Breit–Wheeler process</span> Electron-positron production from two photons

The Breit–Wheeler process or Breit–Wheeler pair production is a proposed physical process in which a positron–electron pair is created from the collision of two photons. It is the simplest mechanism by which pure light can be potentially transformed into matter. The process can take the form γ γ′ → e+ e where γ and γ′ are two light quanta.

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References

  1. Gottfried, Kurt (2011). "P. A. M. Dirac and the discovery of quantum mechanics". pubs.aip.org. Retrieved 2023-10-23.
  2. "Dirac hole theory". McGraw-Hill Dictionary of Scientific & Technical Terms. Retrieved 28 March 2014.
  3. Jim Branson. "Negative Energy Solutions: Hole Theory". University of California, San Diego . Retrieved 28 March 2014.
  4. 1 2 Kragh, Helge (1990). Dirac: A Scientific Biography . Cambridge University Press. p.  114. ISBN   0521380898.
  5. Martin, Brian Robert; Shaw, Graham (2008). "Hole theory and the positron". Particle physics (3rd ed.). Chichester, UK: ProQuest (published 2008-11-20). p. 6. ISBN   9780470032947.