Classical phase space density for the relativistic hydrogen atom

AIP Conference Proceedings

Volumn 810, Issue , 2006, Pages 198-210

  Nieuwenhuizen, Th M ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Annus mirabilis; Classical description; Einstein; Ground state; Hydrogen atom; Phase space density; Stochastic electrodyamics

Indexed keywords

EID: 33751324634     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2158722     Document Type: Conference Paper

References (36)

1. H. Zbinden, J. Brendel, N. Gisin, and W. Tittel, Experimental test of nonlocal quantum correlation in relativistic configurations, Phys. Rev. A 63 022111 (2001).
2. See, for instance: J.A. Wheeler and W.H. Zurek, Quantum Theory and Measurement (Princeton University Press, 1983);
3. P. Busch, P.J. Lahti and P. Mittelstaedt, The Quantum Theory of Measurements (Springer, Berlin, 1996);
4. Decoherence and the Appearance of a Classical World in Quantum theory, D. Giulini et al (Springer, Berlin, 1996); and references therein.
5. T.A. Brun, J. Finkelstein J and N.D. Mermin, How much state assignments can differ, Phys. Rev. A 65, 032315 Part A (2002).
6. R.T. Cox, Am. J. Phys. 14, 1 (1946);
7. B. de Finetti, Theory of Probability (Wiley, New-York, 1990);
8. C.M. Caves, C.A. Fuchs, R. Schack, J. Math. Phys., 43 (2002) 4537.
9. K. Hess and W. Philipp, Proc. Nat. Ac. Sci. 101, 1799 (2004).
10. I.V. Volovich, Quantum Cryptography in Space and Bell's Theorem, in: PQ-QP: Quantum Probability and White Noise Analysis, Volume XIII, ed. A. Khrennikov, (World Scientific, Singapore, 2001), pp 364.
11. F.H. Willeboordse, Quantum Correlations with a Classical Apparatus, quant-ph/0502175
12. A. Khrennikov, J. Math. Phys., 45, 902 (2004);
13. A. Khrennikov, J. Math. Phys., ibid., 44, 2471 (2003);
14. A. Khrennikov, J. Math. Phys., ibid., 43, 789 (2002).
15. L. de la Peña and A.M. Cetto, The Quantum Dice: An Introduction to Stochastic Electrodynamics, (Kluwer, Dordrecht, 1996).
16. L. de la Peña and A.M. Cetto, Contribution from stochastic electrodynamics to the understanding of quantum mechanics, quant-ph/0501011; this issue pp. XX
17. A.E. Allahverdyan, A. Khrennikov and Th.M. Nieuwenhuizen, Brownian Entanglement, to appear in Phys. Rev A; quant-ph/0412132
18. B. Carter, Phys. Rev. 174 , 1559 (1968).
19. H. I. Arcos and J. G. Pereira, Kerr-Newman solution as a Dirac particle, Gen.Rel.Grav. 36 2441, (2004)
20. L.E. Ballentine, Rev. Mod. Phys. 42, 358 (1970), sections I-III.
21. N.G. van Kampen, Physica A 153, 97 (1988).
22. R. Balian, Am. J. Phys. 57, 1019 (1989).
23. W.M. de Muynck, Foundations of Quantum Mechanics, an Empirist Approach, (Kluwer Academic Publishers, 2002).
24. A.E. Allahverdyan, R. Balian and Th.M. Nieuwenhuizen, Phys. Rev. A 64, 032108 (2001).
25. A.E. Allahverdyan, R. Balian and Th.M. Nieuwenhuizen, Eur. Phys. Lett., 61, 452 (2003).
26. A.E. Allahverdyan, R. Balian and Th.M. Nieuwenhuizen, The quantum measurement process: an exactly solvable model, Atti d. Fond. G. Ronchi, An. LVIII, N. 6, 719-727 (2003); cond-mat/0309188;
27. Dynamics of a quantum measurement, Proceedings Frontiers of Quantum and Mesoscopic Thermodynamics, 26-29 July 2004, Prague, Czech Republic, Physica E 2005, to appear; quant-ph/0412045;
28. The quantum measurement process in an exactly solvable model, AIP Conference Proceedings February 15, 2005 - Volume 750, Issue 1, pp. 26-34; cond-mat/0408316.
29. Th.M. Nieuwenhuizen, unpublished.
30. D.T. Pope, P.D. Drummond and W.J. Munro, Phys. Rev. A 62, 042108 (2000).
31. D.C. Cole and Y. Zou, Quantum Mechanical Ground State of Hydrogen Obtained from Classical Electrodynamics, Phys. Lett. A 317, 14 (2003)
32. W.P. Schleich, Quantum Optics in Phase Space, (Wiley-VCH, Weinheim, 2001)
33. L. Praxmeyer, J. Mostowski and K. Wódkiewicz, Hydrogen atom in phase space: The Wigner representation, quantphys/0504038
34. E. Nelson, Dynamical Theories of Brownian Motion, Math. Notes, Princeton University Press, 1967.
35. N.F. Mott and H.S.W. Massey, The Theory of Atomic Collisions, (Clarendon, Oxford, 1965)
36. J.G. Childers, K.E. James, M. Hughes, I. Bray, M. Baertschy and M.A. Khakoo, Phys. Rev. A 28, 030702(R) (2003).