Quantum tunneling in the Wigner representation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 6, 1996, Pages 4752-4762

  Marinov, M S ^a   Segev, Bilha ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000878175     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.4752     Document Type: Article

References (75)

1. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, London, 1958).
2. L. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968), Chaps. 8 and 9.
3. M. Büttiker and R. Landauer, Phys. Rev. Lett. 49, 1739 (1982).
4. E. Pollak and W. H. Miller, Phys. Rev. Lett. 53, 115 (1984).
5. C. R. Leavens and G. C. Aers, Phys. Rev. B 39, 1202 (1989).
6. E. H. Hauge and J. A. Støvneng, Rev. Mod. Phys. 61, 917 (1989).
7. V. S. Olkhovsky and E. Recami, Phys. Rep. 214, 339 (1992).
8. J. G. Muga, S. Brouard and R. Sala, Phys. Lett. A 167, 24 (1992).
9. R. Landauer and Th. Martin, Rev. Mod. Phys. 66, 217 (1994).
10. A. M. Steinberg and R.Y. Chiao, Phys. Rev. A 49, 3283 (1994).
11. D. Sokolovski, Phys. Rev. A 52, R5 (1995).
12. A. M. Steinberg, Phys. Rev. Lett. 74, 2405 (1995).
13. A. Ranfagni, D. Mugnai, P. Fabeni and G. P. Pazzi, Appl. Phys. Lett. 58, 774 (1991).
14. A. Ranfagni, D. Mugnai, P. Fabeni, G. P. Pazzi, G. Naletto and C. Sozzi, Physica B 175, 283 (1991).
15. A. Ranfagni, P. Fabeni, G. P. Pazzi and D. Mugnai, Phys. Rev. E 48, 1453 (1993).
16. A. Enders and G. Nimtz, Phys. Rev. B 47, 9605 (1993).
17. A. M. Steinberg, P. G. Kwiat and R. Y. Chiao, Phys. Rev. Lett. 71, 708 (1993).
18. Ch. Spielmann, R. Szipocs, A. Sting and F. Krausz, Phys. Rev. Lett. 73, 2308 (1994).
19. R. G. Winter, Phys. Rev. 123, 1503 (1961).
20. N. Abu-Salby, D. J. Kouri, M. Baer and E. Pollak, J. Chem. Phys. 82, 4500 (1985).
21. B. Gaveau and L. S. Schulman, J. Phys. A 19, 1833 (1986).
22. W. Elberfeld and M. Kleber, Am. J. Phys. 56, 154 (1988).
23. S. A. Gurvitz, Phys. Rev. A 38, 1747 (1988).
24. W.-M. Suen and K. Young, Phys. Rev. A 43, 1 (1991).
25. S. Baskoutas and A. Jannusis, J. Phys. A 25, L1299 (1992).
26. T. O. de Carvalho, Phys. Rev. A 47, 2562 (1993).
27. S. Albeverio, Z. Brzezniak and L. Dabrowski, J. Phys. A 27, 4933 (1994).
28. M. Kleber, Phys. Rep. 236, 331 (1994).
29. F. Grossmann and E. J. Heller, Chem. Phys. Lett. 241, 45 (1995).
30. G. Garcia-Calderon, J. L. Mateos and M. Moshinsky, Phys. Rev. Lett. 74, 337 (1995).
31. D. W. McLaughlin, J. Math. Phys. 13, 1099 (1972).
32. M. S. Marinov and V. S. Popov, Fortschr. Phys. 25, 373 (1977).
33. D. Sokolovski and L. M. Baskin, Phys. Rev. A 36, 4604 (1987).
34. L. S. Schulman and R. W. Ziolkowski, in Proceedings of the 3rd Conference on Path Integrals from MeV to meV, edited by Virulh Sa-yakanit et al. (World Scientific, Singapore, 1989), p. 253.
35. W. Jaworski and D. M. Wardlaw, Phys. Rev. A 43, 5137 (1991).
36. H. Aoyama and T. Harano, Nucl. Phys. B446, 315 (1995).
37. E. P. Wigner, Phys. Rev. 40, 749 (1932).
38. P. Carruthers and F. Zachariasen, Rev. Mod. Phys. 55, 245 (1983).
39. M. Hillery, R. F. O'Connell, M. O. Scully and E. P. Wigner, Phys. Rep. 106, 121 (1984).
40. N. L. Balazs and B. K. Jennings, Phys. Rep. 104, 347 (1984).
41. A. Peres, Phys. Scr. 34, 736 (1986).
42. W. Botermans and R. Malfliet, Phys. Rep. 198, 115 (1990).
43. J. Aichelin, Phys. Rep. 202, 233 (1991).
44. S. Abe and N. Suzuki, Phys. Rev. A 45, 520 (1992).
45. A. Bonasera, V. N. Kondratyev, A. Smerzi and E. A. Remler, Phys. Rev. Lett. 71, 505 (1993).
46. J. P. Bizarro, Phys. Rev. A 49, 3255 (1994).
47. S. Mrowczynski and B. Muller, Phys. Rev. D 50, 7542 (1994).
48. A. Royer, Phys. Rev. A 43, 44 (1991).
49. S. K. Ghosh and A. K. Dhara, Phys. Rev. A 44, 65 (1991).
50. F. H. Molzahn and T. A. Osborn, Ann. Phys. (N.Y.) 230, 343 (1994).
51. H.-W. Lee, Phys. Rev. A 50, 2746 (1994).
52. A. Smerzi, Phys. Rev. A 52, 4365 (1995).
53. J. G. Muga and R. F. Snider, Phys. Rev. A 45, 2940 (1992).
54. R. Jackiw and G. Woo, Phys. Rev. D 12, 1643 (1975).
55. T. M. Gould and E. R. Poppitz, Nucl. Phys. B418, 131 (1994).
56. P. Kasperkovitz and M. Peev, Phys. Rev. Lett. 75, 990 (1995).
57. M. V. Berry, Philos. Trans. R. Soc. London 287, 237 (1977).
58. R. G. Littlejohn, Phys. Rep. 138, 193 (1986).
59. M. Mallalieu, Jr. and C. R. Stroud, Phys. Rev. A 49, 2329 (1994).
60. N. L. Balazs and A. Voros, Ann. Phys. (N.Y.) 199, 123 (1990).
61. J. G. Muga, J. Phys. A 24, 2003 (1991).
62. A. Defendi and M. Roncadelli, Phys. Lett. A 187, 289 (1994).
63. H. W. Lee and M. O. Scully, Found. Phys. 13, 61 (1983).
64. K. L. Jensen and F. A. Buot, Appl. Phys. Lett. 55, 669 (1989).
65. J. G. Muga, R. Sala and S. Brouard, Solid State Commun. 85, 115 (1993).
66. R. Sala, S. Brouard and J.G. Muga, J. Chem. Phys. 99, 2708 (1993).
67. V. Delgado, S. Brouard and J. G. Muga, Solid State Commun. 94, 979 (1995).
68. E. A. Remler, Ann. Phys. (N.Y.) 95, 455 (1975).
69. B. M. Garraway and P. L. Knight, Phys. Rev. A 50, 2548 (1994).
70. M. S. Marinov, Phys. Lett. A 153, 5 (1991).
71. M. S. Marinov and B. Segev, J. Phys. A 29, 2839 (1996).
72. Bilha Segev, Ph.D. dissertation, Technion Israel Institute of Technology, 1996.
73. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972), Chap. 7.
74. M. S. Marinov and B. Segev (unpublished).
75. L. J. Slater, Generalized Hypergeometric Functions (Cambridge University Press, Cambridge, England, 1966).