DIRAC ELECTRON FREE FIELD ANTICOMMUTATOR AND ITS ZEROS ON TIME INTERVALS

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Abstract

Estimates are obtained for time intervals containing the zero of the Pauli-Jordan-Dirac anticommutator in a discrete representation in the spatially one-dimensional and three-dimensional cases.

About the authors

E. A. Karatsuba

Federal Research Center “Computer Science and Control” of Russian Academy of Sciences

Author for correspondence.
Email: ekaratsuba@gmail.com
Russian Federation, Moscow

References

  1. Дирак П.А.М. К созданию квантовой теории поля. Москва. Наука. 1990. The Quantum Theory of the Emission and Absorption of Radiation // Proceedings of the Royal Society of London. Series A. 1927. V. 114. № 767. P. 243–265.
  2. Дирак П.А.М. К созданию квантовой теории поля. Москва. Наука. 1990. Discussion of the infinite distribution of electrons in the theory of the positron // Mathematical Proceedings of the Cambridge Philosophical Society. 1934. V.30. № 2. P. 150–163.
  3. Jordan P., Pauli W. Zur Quantenelektrodynamik ladungsfreier Felder // Zeitschrift für Physik. 1928. V. 47. P. 151–173.
  4. Шифф Л. Квантовая механика. Издание 2-ое. Издательство Иностранной литературы. Москва. 1959.
  5. Karatsuba E.A. Zeros and points of discontinuity of the commutator function of the free Dirac field // Journal of Physics: Conference Series. 2008. IOP Publ. V.128. Quantum Information and Foundations of Quantum Theory. P. 012015:1–11.
  6. Karatsuba E.A. The Commutator Function of the Free Dirac Field in the Discrete Representation and its Zeros // Pacific Journal of Applied Mathematics. 2008. V. 1. № 2. P. 37–55.
  7. Боголюбов Н.Н., Ширков Д.В. Введение в теорию квантованных полей. Москва: “Наука”, 1984.
  8. Дирак П.А.М. К созданию квантовой теории поля. Москва. Наука. 1990. On the theory of quantum mechanics // Proceedings of the Royal Society of London. Series A. 1926. V. 112. P. 661–677.
  9. Дирак П.А.М. К созданию квантовой теории поля. Москва. Наука. 1990. On the Annihilation of Electrons and Protons // Mathematical Proceedings of the Cambridge Philosophical Society. 1930. V. 26. P. 361–375.
  10. Fermi E. Quantum Theory of Radiation // Rev. Mod. Phys. 1932. V. 4 P. 87–132.
  11. Pauli W. The Connection Between Spin and Statistics // Phys. Rev. 1940. V. 58 P. 716–722.
  12. Pauli W. Relativistic Field Theories of Elementary Particles // Rev. Mod. Phys. 1941. V. 13. P. 203–232.
  13. Schwinger J. Quantum Electrodynamics. I. A Covariant Formulation // Phys. Rev. 1948. V. 74. P. 1439–1461.
  14. Mercati F., Sergola M. Pauli-Jordan function and scalar field quantization in -Minkowski noncommutative spacetime // Phys. Rev. D. 2018. V. 98. P. 045017.
  15. Daqing Liu, Furui Chen, Shuyue Chen, Ning Ma Calculating Pauli-Jordan Function // European Journal of Physics. 2020. V. 41. № 3. P. 035406.
  16. Karatsuba A.A., Karatsuba E.A.Physical mathematics in number theory // Functional Analysis and Other Mathematics. 2011. V. 3. № 2. P. 113–125.

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