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Noncommutative space-time and relativistic dynamics

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Abstract

Some aspects of the approach to the Quantum Theory with Noncommutative Geometry (NCG) based in general on the Non-Euclidean momentum space are considered.

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References

  1. H. Snyder, Phys. Rev. 71, 38 (1947)

    Article  ADS  Google Scholar 

  2. H. Snyder, Phys. Rev. 72, 68 (1947).

    Article  ADS  Google Scholar 

  3. W. Pauli, see footnote in the first Snyder’s paper.

  4. C. N. Yang, Phys. Rev. 72, 874 (1947).

    Article  ADS  Google Scholar 

  5. Yu. A. Golfand, Sov. Phys. JETP 16, 184 (1963)

    ADS  MathSciNet  Google Scholar 

  6. Yu. A. Golfand, Sov. Phys. JETP 17, 848 (1964).

    Google Scholar 

  7. I. E. Tamm, Collection of Scientific Works (Nauka Publishers, Moscow, 1975).

    Google Scholar 

  8. V. G. Kadyshevsky, Sov. Phys. JETP 14, 1340 (1961).

    Google Scholar 

  9. V. G. Kadyshevsky, Sov. Phys. Dokl. 7, 235 (1963).

    Google Scholar 

  10. V. G. Kadyshevsky, Sov. Phys. Dokl. 7, 1031 (1963).

    ADS  Google Scholar 

  11. V. G. Kadyshevsky, Problems of Theoretical Physics, Ed. by I. E. Tamm (Nauka Publishers, Moscow, 1972).

  12. V. G. Kadyshevsky, “Quantum Field Theory and Markov’s “maximon”, Proc. Of the III International Seminar “Quantum Theory of Gravitation” (Moscow,1984), Preprint JINR P2-84-753 (Dubna, JINR, 1984).

    Google Scholar 

  13. V. G. Kadyshevsky, Nucl. Phys. B 141, 477 (1978), Fermilab- Pub. 78/70-THY (1978).

    Article  ADS  MathSciNet  Google Scholar 

  14. V. G. Kadyshevsky, Phys. Part. Nucl. 24, 584 (1980).

    Google Scholar 

  15. V. G. Kadyshevsky and M. D. Mateev, Nuovo Cimento A 87, 324 (1985).

    Article  ADS  Google Scholar 

  16. V. G. Kadyshevsky and D. V. Fursaev, JINR Rapid Commun., No. 6, 5 (1992).

    Google Scholar 

  17. V. G. Kadyshevsky and D. V. Fursaev, Theor. Math. Phys. 83, 197 (1990).

    Google Scholar 

  18. R. M. Ibadov and V. G. Kadyshevsky, Preprint JINRP2- 86-835 (1986).

  19. R. M. Mir-Kasimov, Sov. Phys. JETP 22, 629 (1966)

    ADS  Google Scholar 

  20. R. M. Mir-Kasimov, Sov. Phys. JETP 22, 807 (1966).

    ADS  Google Scholar 

  21. R. M. Mir-Kasimov, Sov. Phys. JETP 25, 348 (1967).

    ADS  Google Scholar 

  22. V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Nuovo Cimento. A 55, 233 (1968).

    Article  ADS  Google Scholar 

  23. A. Donkov, V. G. Kadyshevsky, M. Mateev, and R. M. Mir-Kasimov, in Proceedings of V.A. Steklov Mathematical Institute, 1975, Vol. CXXXVI, p. 85.

    Google Scholar 

  24. R. M. Mir-Kasimov, Phys. Part. Nucl. 31, 44 (2000).

    Google Scholar 

  25. R. M. Mir-Kasimov, Phys. Lett. B 259, 79 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  26. R. M. Mir-Kasimov, J. Phys. A 24, 4283 (1991).

    Article  ADS  MathSciNet  Google Scholar 

  27. R. M. Mir-Kasimov, Phys. Lett. B 378, 181 (1996).

    Article  ADS  Google Scholar 

  28. R. M. Mir-Kasimov, Turkish J. Phys. 21, 472 (1997).

    ADS  Google Scholar 

  29. R. M. Mir-Kasimov, Int. J. Mod. Phys. 12, 24 (1997).

    Article  MathSciNet  Google Scholar 

  30. R. M. Mir-Kasimov, Phys. At. Nucl. 61, 1951 (1998).

  31. R. M. Mir-Kasimov, Preprint No. E2–11893 (JINR, Dubna, 1978).

    Google Scholar 

  32. V. G. Kadyshevsky, Nucl. Phys. B 141, 477 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  33. R. M. Mir-Kasimov, Phys. Lett. B 259, 79 (1991).

    Article  ADS  MathSciNet  Google Scholar 

  34. R. M. Mir-Kasimov, J. Phys. A 24, 4283 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  35. E. D. Kagramanov, R. M. Mir-Kasimov, and Sh. M. Nagiyev, J. Math. Phys. 31, 173 (1990).

    Article  Google Scholar 

  36. R. M. Mir-Kasimov, Preprint No. 197/94/EP (SISSA, 1994), hep-th/9412105.

  37. S. Deser, R. Jackiw, and G.’ t Hooft, Ann. Phys. 117, 685 (1988).

    Google Scholar 

  38. E. Witten, Nucl. Phys. B 311, 46 (1988).

    Article  ADS  Google Scholar 

  39. G. t’ Hooft, Class. Quant. Grav. 13, 1023 (1996).

    Article  ADS  Google Scholar 

  40. S. L. Woronowich, Commun. Math. Phys. 122, 125 (1989).

    Article  ADS  Google Scholar 

  41. J. Wess and B. Zumino, Nucl. Phys. B (Proc. Suppl.) 18, 302 (1990).

    Article  ADS  Google Scholar 

  42. M. Dubois-Violette, R. Kerner, and J. Madore, J. Math. Phys. 31, 323 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  43. A. Connes, Noncommutative Geometry (Academic Press, 1994).

    MATH  Google Scholar 

  44. J. Madore, An Introduction to Noncommutative Geometry and Its Physical Applications (Cambridge University Press, 1995).

    MATH  Google Scholar 

  45. A. Dimakis and F. Müller-Hoissen, J. Math. Phys. 40, 1518 (1998).

    Article  ADS  Google Scholar 

  46. Yu. I. Manin, Les publications du Centre de Recherches Mathématimatique (Université de Montréal, 1988).

    Google Scholar 

  47. A. J. Macfarlane, J. Phys. A 4581 (1989)

    Google Scholar 

  48. L. C. Biedenharn, J. Phys. A 22, L873 (1989).

    Article  ADS  Google Scholar 

  49. A. Ruffing, “Unexpected supermodes”, dedicated to the 65th Birthday of Julius Wess, (J. Wess Jubiley Volume).

  50. E. Witten, Nucl. Phys. B 268, 253 (1986)

    Article  ADS  Google Scholar 

  51. N. Seiberg and E. Witten, JHEP 9909, 032 (1999). hepth/ 9908142].

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics JINR, Dubna, 141980, Russia

    R. M. Mir-Kasimov

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Mir-Kasimov, R.M. Noncommutative space-time and relativistic dynamics. Phys. Part. Nuclei 48, 309–318 (2017). https://doi.org/10.1134/S1063779617020058

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