Quantum theory and linear stochastic electrodynamics

Foundations of Physics

Volumn 31, Issue 12, 2001, Pages 1703-1731

  de la Pena L ^a   Cetto, A M ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035565538     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012670800317     Document Type: Article

References (29)

1. L. de la Peña and A. M. Cetto, The Quantum Dice. An introduction to Stochastic Electro-dynamics (Kluwer Academic, Dordrecht, 1996).
2. L. de la Peña and A. M. Cetto, "Linear stochastic electrodynamics: Looking for the physics behind quantum theory," in New Perspectives on Quantum Mechanics, S. Hacyan, R. Jàuregui, and R. López-Peña, eds., AIP Conference Proceedings, Vol. 464 (American Institute of Physics, New York, 1999). There is an unabridged version of this work: L. de la Peña, "Stochastic Electrodynamics: Looking for the Physics Behind Quantum Theory." Course given at the XXXI Latin American School of Physics (ELAF), July 1998 (102 pages), which can be obtained from the author.
3. M. Born, W. Heisenberg, and P. Jordan, Z. Phys. 35, 557 (1926); reprinted in Sources of Quantum Mechanics, B. L. van der Waerden, ed. (Dover, New York, 1968).
4. M. Born, W. Heisenberg, and P. Jordan, Z. Phys. 35, 557 (1926); reprinted in Sources of Quantum Mechanics, B. L. van der Waerden, ed. (Dover, New York, 1968).
5. T. H. Boyer, in Foundations of Radiation Theory and Quantum Electrodynamics, A. O. Barut, ed. (Plenum, London, 1980).
6. T. W. Marshall and E. Santos, Found. Phys. 18, 185 (1988).
7. Strictly speaking, some of these steps are not an approximation, since they can be seen as the result of considering the average over the realizations of all the field modes (in all directions of propagation and all polarizations) of a given (fixed) frequency as explained below (details can also be seen in Refs. 1 and 2).
8. … is due to the effective force exerted on the particle by radiation due to the far (acceleration) field, and refers to energy that effectively leaves the particle.
9. This point is discussed with particular clarity in A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Dover, New York, 1980), Section V.5.
10. The cancellation of the effects of absorption from the vacuum field and radiation into the vacuum is so nearly satisfied, that it has lead to Jaynes to read the phenomenon just in the opposite sense, i.e., to consider that the radiated field is just the vacuum field, thus negating the existence of such a field by itself. From this point of view, that the field is there, where and when it is needed is guaranteed by the radiation. See E. T. Jaynes in Complexity, Entropy and the Physics of Information, W. H. Zurek, ed., Santa Fe Institute (Perseus Books, Reading, MA, 1990).
11. D. Home, Conceptual Foundations of Quantum Physics: An Overview from Modern Perspectives (Plenum, New York, 1997).
12. T. W. Marshall and E. Santos, Found. Phys. 18, 185 (1988); Phys. Rev. A 39, 6271 (1989). E. Santos, Phys. Rev. A 46, 3646 (1992), and references therein.
13. T. W. Marshall and E. Santos, Found. Phys. 18, 185 (1988); Phys. Rev. A 39, 6271 (1989). E. Santos, Phys. Rev. A 46, 3646 (1992), and references therein.
14. T. W. Marshall and E. Santos, Found. Phys. 18, 185 (1988); Phys. Rev. A 39, 6271 (1989). E. Santos, Phys. Rev. A 46, 3646 (1992), and references therein.
15. It is not a consistent stochastic theory due at least to the systematic neglect of the noisy motions, and it is not a consistent statistical theory due to reasons similar to those given in connection with Eq. (5.5).
16. W. Nernst, Verhandl. Deutsch. Phys. Ges. 18, 83 (1916).
17. S. Bergia, in I Fondamenti della Meccanica Quantistica. Analisi Storica e Problemi Aperti, G. Cattaneo and A. Rossi, eds. (EditE1, Commenda di Rende, 1991).
18. T. H. Boyer, Phys. Rev. D 11, 790 (1975).
19. P. Claverie and S. Diner, in Localization and Delocalization in Quantum Chemistry, O. Chalvet, R. Daudel, S. Diner, and J.-P. Malrieu, eds. (Reidel, Dordrecht, 1976). A detailed account and references to related work can be seen in Ref. 1. H. França et al. have recently given another proof of the stability of the SED atom and used it for a succesfull calculation of transition rates. See H. França, H. Franco, and C. P. Malta, Eur. J. Phys. 18, 343 (1977).
20. P. Claverie and S. Diner, in Localization and Delocalization in Quantum Chemistry, O. Chalvet, R. Daudel, S. Diner, and J.-P. Malrieu, eds. (Reidel, Dordrecht, 1976). A detailed account and references to related work can be seen in Ref. 1. H. França et al. have recently given another proof of the stability of the SED atom and used it for a succesfull calculation of transition rates. See H. França, H. Franco, and C. P. Malta, Eur. J. Phys. 18, 343 (1977).
21. Attempts can be seen in H. E. Puthoff, Phys. Rev. A 40, 4857 (1989), L. de la Peña and A. M. Cetto, Found. Phys. Lett. 10, 591 (1997), and R. W. Bess and D. Zes, "Planck's constant from Hubble's constant," 1999 draft. Calogero has developed a qualitatively similar idea, involving instead the gravitational field in F. Calogero, Phys. Lett. A 228, 335 (1997), whereas P. F. Gonzalez-Diaz in Ann. Phys. (Leipzig) 46, 309 (1989) proposes what he calls stochastic gravitodynamics.
22. Attempts can be seen in H. E. Puthoff, Phys. Rev. A 40, 4857 (1989), L. de la Peña and A. M. Cetto, Found. Phys. Lett. 10, 591 (1997), and R. W. Bess and D. Zes, "Planck's constant from Hubble's constant," 1999 draft. Calogero has developed a qualitatively similar idea, involving instead the gravitational field in F. Calogero, Phys. Lett. A 228, 335 (1997), whereas P. F. Gonzalez-Diaz in Ann. Phys. (Leipzig) 46, 309 (1989) proposes what he calls stochastic gravitodynamics.
23. Attempts can be seen in H. E. Puthoff, Phys. Rev. A 40, 4857 (1989), L. de la Peña and A. M. Cetto, Found. Phys. Lett. 10, 591 (1997), and R. W. Bess and D. Zes, "Planck's constant from Hubble's constant," 1999 draft. Calogero has developed a qualitatively similar idea, involving instead the gravitational field in F. Calogero, Phys. Lett. A 228, 335 (1997), whereas P. F. Gonzalez-Diaz in Ann. Phys. (Leipzig) 46, 309 (1989) proposes what he calls stochastic gravitodynamics.
24. Attempts can be seen in H. E. Puthoff, Phys. Rev. A 40, 4857 (1989), L. de la Peña and A. M. Cetto, Found. Phys. Lett. 10, 591 (1997), and R. W. Bess and D. Zes, "Planck's constant from Hubble's constant," 1999 draft. Calogero has developed a qualitatively similar idea, involving instead the gravitational field in F. Calogero, Phys. Lett. A 228, 335 (1997), whereas P. F. Gonzalez-Diaz in Ann. Phys. (Leipzig) 46, 309 (1989) proposes what he calls stochastic gravitodynamics.
25. Attempts can be seen in H. E. Puthoff, Phys. Rev. A 40, 4857 (1989), L. de la Peña and A. M. Cetto, Found. Phys. Lett. 10, 591 (1997), and R. W. Bess and D. Zes, "Planck's constant from Hubble's constant," 1999 draft. Calogero has developed a qualitatively similar idea, involving instead the gravitational field in F. Calogero, Phys. Lett. A 228, 335 (1997), whereas P. F. Gonzalez-Diaz in Ann. Phys. (Leipzig) 46, 309 (1989) proposes what he calls stochastic gravitodynamics.
26. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures in Physics, Vol. III (Addison-Wesley, Reading, MA, 1965).
27. E. J. Heller, in Chaos and Quantum Physics, M.-J. Giannom, A. Voros, and J. Zinn-Justin, eds. (Les Houches, Session LII) (Elsevier, Amsterdam, 1989). See also P. O'Connor, J. Gehlen, and E. J. Heller, Phys. Rev. Lett. 58, 1296 (1987).
28. E. J. Heller, in Chaos and Quantum Physics, M.-J. Giannom, A. Voros, and J. Zinn-Justin, eds. (Les Houches, Session LII) (Elsevier, Amsterdam, 1989). See also P. O'Connor, J. Gehlen, and E. J. Heller, Phys. Rev. Lett. 58, 1296 (1987).
29. D. Wick, The Infamous Boundary. Seven Decades of Heresy in Quantum Physics (Copernicus, New York, 1995).