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2002 | 101 | 2 | 213-229

Article title

Motion of a Localised Klein-Gordon Field

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EN

Abstracts

EN
Definitions of the momentum density, energy density, and densities of some other physical quantities are added to the standard Klein-Gordon theory. The densities introduced allow calculation of momentum and energy and their uncertainties of a localised Klein-Gordon field. It is shown that at certain conditions the momentum, energy, and potential energy of a localised Klein-Gordon field satisfy the relativistic Hamilton-Jacobi equation.

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Contributors

author
  • Julius Kruttschnitt Mineral Research Centre, The University of Queensland, Isles Road, Indooroopilly, Queensland 4068, Australia

References

  • 1. D.I. Davydov, Quantum Mechanics, Pergamon, Oxford 1965; for the expansion (1.6) see also D.I. Blokhintsev, Quantum Mechanics, D. Reidel Pub. Co., Dordrecht 1964, p. 102
  • 2. E. Madelung, Z. Phys.940, 322, 1926
  • 3. L. Brillouin, J. Phys. Radium, 7, 353, 1926
  • 4. H.A. Kramers, Z. Phys., 39, 518, 1926
  • 5. G. Wentzel, Z. Phys., 38, 19828, 1926
  • 6. P. Ehrenfest, Z. Phys., 44, 455, 1927
  • 7. J.H. Van Vleck, Proc. Natl. Acad. Sci., 14, 518, 1928
  • 8. P.A.M. Dirac, The Principles of Quantum Mechanics, Oxford University, Oxford 1958, p. 121
  • 9. N. Rosen, Am. J. Phys., 32, 597, 1964
  • 10. L.S. Brown, Am. J. Phys., 40, 371, 1972
  • 11. D.B. Berkowitz, P.D. Skiff, Am. J. Phys., 40, 1625, 1972
  • 12. K. Hepp, Commun. Math. Phys., 35, 265, 1974; see also K. Yajima, Commun. Math. Phys., 69, 101, 1979; G. Hagedorn, Commun. Math. Phys., 71, 77, 1980
  • 13. D. Home, S. Sengupta, Am. J. Phys., 51, 265, 1983
  • 14. L.E. Ballentine, Y.M. Yang, J.P. Zibin, Phys. Rev. A, 50, 2854, 1994; L.E. Ballentine, J.P. Zibin, Phys. Rev. A, 54, 3813, 1996; L.E. Ballentine, S.M. McRae, Phys. Rev. A, 58, 1799, 1998
  • 15. G.W. Ford, R.F. O'Connell, Phys. Lett. A, 215, 245, 1996
  • 16. V. Aldaya, M. Calixto, J. Guerrero, Commun. Math. Phys., 178, 399, 1996
  • 17. A.J. Makowski, S. Konkel, Phys. Rev. A, 58, 4975, 1998; A. Mostafazadeh, Nucl. Phys. B, 509, 529, 1998; A. Mostafazadeh, Phys. Rev. A, 60, 5144, 1999; A.J. Makowski, S. Konkel, Phys. Rev. A, 60, 5146, 1999
  • 18. O. Klein, Z. Phys., 37, 895, 1926; see also E. Schrodinger, Ann. Phys., 81, 109, 1926; V. Fock, Z. Phys., 38, 242, 1926; V. Fock, Z. Phys., 39, 226, 1926
  • 19. W. Gordon, Z. Phys., 40, 117, 1927
  • 20. S. Breen, P.D. Skiff, Found. Phys., 7, 589, 1977
  • 21. D. Hestenes, in: NATO and SERC Workshop on Clifford Algebras and Their Applications in Mathematical Physics, Canterbury (England) 1985, Eds. J.S.R. Chisholm, A.K. Common, Kluwer Academic Publ., Dordrecht 1986, p. 102
  • 22. W. Pauli, V. Weisskopf, Helv. Phys. Acta, 7, 709, 1934
  • 23. T. Takabayasi, Prog. Theor. Phys., 9, 197, 1953
  • 24. H. Feshbach, F. Villars, Rev. Mod. Phys., 30, 24, 1958
  • 25. G. Marx, Nuovo Cimento A, 60, 669, 1969
  • 26. L.P. Horwitz, C. Piron, Helv. Phys. Acta, 46, 316, 1973
  • 27. L.P. Horwitz, Found. Phys., 14, 1027, 1984
  • 28. N. Kemmer, Proc. R. Soc. A, 173, 91, 1939
  • 29. E. Durand, Phys. Rev. D, 11, 3405, 1975

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Publication order reference

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bwmeta1.element.bwnjournal-article-appv101n204kz
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