Equivalence of two forms of the solution to the Schrödinger equation for a particle passing through a grating

Journal of Russian Laser Research

Volumn 26, Issue 2, 2005, Pages 94-108

  Arsenovic D ^a   Bozic M ^a   Man'Ko, O V ^b   Man'Ko, V I ^b  

^a UNIVERSITY OF BELGRADE   (Serbia)

^b LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

Grating; Probability distribution; Tomogram; Wave

Indexed keywords

EID: 18744367203     PISSN: 10712836     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10946-005-0009-1     Document Type: Article

References (35)

1. th (expanded) ed., Pergamon Press, Oxford (2002).
2. Č. Brukner and A. Zeilinger, Phys. Rev. Lett., 79, 2599 (1997).
3. J. F. Clauser and M. Reinsch, Appl. Phys. B, 54, 380 (1992).
4. J. F. Clauser and S. Li, Phys. Rev. A, 49, R2213 (1994).
5. S. I. Tomonaga, Quantum Mechanics, North Holland, Amsterdam (1966), Vol. 2.
6. C. S. Adams, M. Sigel, and J. Mlynek, Phys. Rep., 240, 143 (1994).
7. W. H. Zurek, Phys. Today, 34, 36 (1991).
8. R. Bonifacio and S. Olivares, Z. Naturforsch., 56a, 41 (2001).
9. A. Zeilinger, R. Gahler, C. G. Schull, W. Treimer, and W. Mampe, Rev. Mod. Phys., 60, 1067 (1988).
10. Ch. Kurtsiefer, T. Pfau, and J. Mlynek, Nature, London, 386, 150 (1997).
11. D. Arsenović, M. Božić, and L. Vušković, J. Opt. B: Quantum Semiclass. Opt., 4, S358 (2002).
12. M. Božić, D. Arsenović, and L. Vušković, Phys. Rev. A, 69, 053618 (2004).
13. B. Dubetsky and P. A. Berman, in: P. B. Berman (ed.), Atom Interferometry, Academic Press, New York (1977), p. 407.
14. L. Landau, Z. Phys., 45, 430 (1927).
15. J von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin (1932).
16. S. Mancini, V. I. Man'ko, and P. Tombesi, Found. Phys., 27, 801 (1997).
17. E. Wigner, Phys. Rev., 40, 749 (1932).
18. K. Husimi, Proc. Phys. Math. Soc. Jpn, 22, 264 (1940).
19. R. J. Glauber, Phys. Rev., 131, 2766 (1963).
20. E. C. G. Sudarshan, Phys. Rev. Lett., 10, 277 (1963).
21. V. I. Man'ko, M. Moshinsky, and A. Sharma, Phys. Rev. A, 59, 1809 (1999).
22. O. V. Man'ko, Theor. Math. Phys., 121, 1496 (1999).
23. V. I. Man'ko, L. Rosa, and P. Vitale, Phys. Rev. A, 58, 3291 (1998).
24. V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria, J. RUSS. Laser Res., 20, 421 (1999);
25. Phys. Lett. A, 273, 31 (2000);
26. J. Phys. A: Math. Gen., 35, 7157 (2002).
27. O. V. Man'ko and V. I. Man'ko, J. RUSS. Laser Res., 18, 407 (1997).
28. V. I. Man'ko and R. V. Mendes, Physica D, 145, 222 (2000).
29. M. A. Man'ko, "Fractional Fourier analysis and quantum propagators," in: H.-D. Doebner, J.-D. Hennig, W. Lucke, and V. K. Dobrev (eds.), Quantum Theory and Symmetries, World Scientific, Singapore (2000), p. 226.
30. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York (1980).
31. M. Božić, D. Arsenović, and L. Vuškovic,́ Z. Naturforsch., 56a, 173 (2001).
32. V. I. Man'ko and R. V. Mendes, Phys. Lett. A, 263, 53 (1999).
33. M. A. Man'ko, V. I. Man'ko, and R. V. Mendes, J. Phys. A: Math. Gen., 34, 8321 (2001).
34. L. Vušković, D. Arsenović, and M.Božić, Found. Phys., 32, 1329 (2002).
35. J. E. Moyal, Proc. Cambridge Philos. Soc., 45, 99 (1949).