Reciprocity between moduli and phases in time-dependent wave functions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 3, 1999, Pages 1802-1810

  Englman, R ^a   Yahalom, A ^b  

^a Department of Physics and Applied Mathematics ^*  (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243311386     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.1802     Document Type: Article

References (33)

1. M. Jammer, The Conceptual Development of Quantum Mechanics (McGraw-Hill, New York, 1966).
2. Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
3. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 1593 (1984)
4. Proc. R. Soc. London, Ser. AM. V. Berry429, 61 (1990).
5. J. Mehra and H. Rechenberg, The Historical Development of Quantum Theory (Springer-Verlag, New York, 1987), Vol. 5, Part 2, Sec. IV.5.
6. L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1955), Sec. 12.
7. A. Selloni, P. Carnevali, R. Car, and M. Parinello, Phys. Rev. Lett. 59, 823 (1987)
8. F. Ancilotti and F. Toigo, Phys. Rev. A 45, 4015 (1992).
9. R. Resta, Phys. Rev. Lett. 80, 1800 (1998).
10. A. Stern, Y. Aharonov, and Y. Imry, Phys. Rev. A 41, 3436 (1990).
11. E. C. Titchmarsh, The Theory of Functions (Clarendon, Oxford, 1932) Secs. 3.42, 3.45, 7.8, and 8.1.
12. N. Shvartsman and I. Freund, Phys. Rev. Lett. 72, 1008 (1994).
13. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals (Clarendon, Oxford, 1948), Chap. V; also C. Caratheodory, Theory of Functions (Chelsea, New York, 1958), Vol. I, Chap. 3.
14. R. A. E. C. Paley and N. Wiener, Fourier Transforms in the Complex Domain (American Physical Society, New York, 1934); also B. Davison, Neutron Transport Theory (Clarendon Press, Oxford, 1957), Chap. VI, Sec. 1; Introduction to the Theory of Fourier Integrals (Ref. 11), p. 339.
15. M. V. Berry and J. Klein, J. Phys. A 17, 1805 (1984).
16. V. V. Dodonov, V. I. Manko, and D. E. Nikonov, Phys. Lett. A 162, 359 (1992).
17. C. Grosche, Phys. Lett. A 182, 28 (1993).
18. D. J. Moore and G. E. Steadman, J. Phys. A 22, 2049 (1990).
19. R. Englman, A. Yahalom, and M. Baer, Phys. Lett. A 251, 223 (1999).
20. M. Born and V. Fock, Z. Phys.51, 165 (1928).
21. T. Kato, Prog. Theor. Phys. 5, 435 (1950).
22. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961), Vol. II, Chap. XVII.
23. J. Liu, B. Hu, and B. Li, Phys. Rev. Lett. 81, 1749 (1998).
24. A. Zigmund, Trigonometrical Series (Dover, New York, 1955), Chap. III.
25. J. von Neumann and E. P. Wigner, Phys. Z. 30, 467 (1929).
26. J. W. Zwanziger and E. R. Grant, J. Chem. Phys. 87, 2954 (1987).
27. R. Kosloff, Annu. Rev. Phys. Chem. 45, 145 (1994).
28. S.-I. Tomonaga, Quantum Mechanics (North-Holland, Amsterdam, 1966). Vol. II, Secs. 41 and 61.
29. E. J. Heller, J. Chem. Phys. 75, 2923 (1981).
30. R. Resta, Rev. Mod. Phys. 66, 899 (1994).
31. Y. Aharonov, T. Kaufherr, S. Popescu, and B. Reznik, Phys. Rev. Lett. 80, 2023 (1998).
32. M. V. Berry, Proc. R. Soc. London, Ser. A 430, 405 (1990).
33. J. W. Zwanziger, S. P. Rucker, and G. C. Chingas, Phys. Rev. A 43, 3232 (1991).