Quantum traversal time, path integrals and "Superluminal" tunnelling

Lecture Notes in Physics

Volumn 734, Issue , 2007, Pages 195-233

  Sokolovski, Dmitri ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36949028144     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-73473-4_7     Document Type: Article

References (51)

1. L.A. MacColl: Phys. Rev. 40, 621 (1932)
2. R.Y. Chiao, A.M. Steinberg: Prog. Opt. 37, 345 (1997)
3. A.P. Jauho. In: Hot Carriers in Semiconductor Nanostructures: Physics and Applications, ed. by J. Shah, (Academic Press, Boston, 1992), pp. 121-151
4. M. Jonson: In: Quantum Transport in Semiconductors, ed. by D.K. Ferry, C. Jacoboni (Plenum Press, New York, 1992) pp. 193-238
5. E.H. Hauge, J.A. Stoevneng: Rev. Mod. Phys. 61, 917 (1989)
6. C.R. Leavens, G.C. Aers: In: Scanning Tunneling Microscopy and Related Methods, Vol. 184 of NATO Advanced Study Institute, Series E: Applied Sciences, ed. by R.J. Behm, N. Garcia, H. Rohrer (Kluwer, Dordrecht, 1990), pp. 59-76
7. M. Büttiker: In: Electronic Properties of Multilayers and Low Dimensional Semiconductor Structures, Vol. 231 of NATO Advanced Study Institute, Series B: Physics, ed. by J.M. Chamberlain, L. Eaves, J.-C. Portal (Plenum Press, New York, 1990), pp. 297-315
8. R. Landauer, Ber. Busenges: Phys. Chem. 95, 404 (1991)
9. V.S. Olkhovsky and E. Recami: Phys. Rep. 214, 339 (1992)
10. R. Landauer, Th. Martin: Rev. Mod. Phys. 66, 217 (1994)
11. C.R. Leavens: Found. Phys. 25, 229 (1995)
12. R.P. Feynman, A.R. Hibbs: Quantum Mechanics and Path Integrals (McGraw-Hill, New York 1965)
13. D. Sokolovski, L.M. Baskin: Phys. Rev. A 36, 4604 (1987)
14. D. Sokolovski, P. Haenggi: Europhys. Lett. 7, 7 (1988)
15. D. Sokolovski, J.N.L Connor: Phys. Rev. A 42, 6512 (1990)
16. D. Sokolovski, J.N.L Connor: Phys. Rev. A 44, 1500 (1991)
17. D. Sokolovski, J.N.L Connor: Phys. Rev. A 47, 4677 (1993).
18. D. Sokolovski, J.N.L Connor: Solid State Comm. 89, 475 (1994)
19. D. Sokolovski, S. Brouard, J.N.L Connor: Phys. Rev. A 50, 1240 (1994)
20. D. Sokolovski: Phys. Rev. A 52, R5 (1995)
21. D. Sokolovski: Phys. Rev. E 54, 1457 (1996)
22. D. Sokolovski: 'Path Integrals and the Quantum Traversal Time Problem'. In: Proceedings of the Adriatico Research Conference on Tunnelling and its Implications, ed. by D. Mugnai, A. Ranfagni, L.S. Schulman (World Scientific, Singapore, New Jersey, London, New York, 1997), pp. 206-222
23. D. Sokolovski: Phys. Rev. Lett. 25, 4946 (1997)
24. D. Sokolovski: Phys. Rev. A 57, R1469 (1998)
25. D. Sokolovski: Phys. Rev. A 59, 1003 (1999)
26. D. Sokolovski, Y. Liu: Phys. Rev. A 63, 012109 (2000)
27. Y. Liu, D. Sokolovski: Phys. Rev. A 63, 014102 (2001)
28. J. von Neumann: Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, NJ, 1955)
29. Y. Aharonov, D.Z. Albert, L. Vaidman: Phys. Rev. Lett. 60, 1351 (1988)
30. Y. Aharonov, L. Vaidman: Phys. Rev. A 41, 11 (1990)
31. A.M. Steinberg: Phys. Rev. Lett. 74, 2405 (1995)
32. G. Iannacone: 'Weak Measurements and the Tunnelling Time Problem'. In: Proceedings of the Adriatico Research Conference on Tunnelling and its Implications, ed. by D. Mugnai, A. Ranfagni, L.S. Schulman (World Scientific, Singapore, New Jersey, London, New York, 1997), pp. 292-309
33. M.V. Berry, J. Goldberg: Nonlinearity 1, 1 (1988)
34. B.R. Holstein, A.R. Swift: Am.J.Phys. 50, 833 (1982)
35. A.I. Baz': Yad. Fiz. 4, 252 (1966) [Sov. J. Nucl. Phys. 4, 182 (1967)] 5, 229 (1967) b 5, 161 (1967)]
36. V.F. Rybachenko: Yad. Fiz. 5, 895 (1967) [Sov. J. Nucl. Phys. 5 635 (1967)]
37. M. Büttiker: Phys. Rev. B 27, 6178 (1983)
38. C.R. Leavens, G.C. Aers: Phys. Rev. B 40, 5387 (1989)
39. J.P. Falck, E.H. Hauge, Phys. Rev. B 38, 3287 (1988)
40. J.G. Muga, S. Brouard, R. Sala: J. Phys.: Condens. Matter 4, L579 (1992)
41. C. Foden, K.W.H. Stevens: IBM J. Res. Dev. 32, 99 (1988)
42. A. Peres: Am. J. Phys. 48, 552 (1980)
43. Special issue of Annalen der Physik 7 (1998). Proceedings of the Workshop on Superluminal (?) Velocities: Tunneling Time, Barrier Penetration, Non-Trivial Vacua, Philosophy of Physics, ed. by P. Mittelstaedt, G. Nimtz (Koeln, 1998)
44. W. Greiner: Relativistic Quantum Mechanics. Wave Equations (Springer, Berlin, 1977)
45. R.P. Feynman: Phys. Rev. 80, 440 (1950)
46. L.S. Schulman: Techniques and Applications of Path Integration (Wiley, New York, 1981), pp. 225-236
47. V.B. Berestetsii, E.M. Lifshitz, L.P. Pitaevskii: Quantum Electrodynamics (Pergamon, Oxford, 1982)
48. D. Sokolovski, A.Z. Msezane, V.R. Shaginyan: Phys. Rev. A 71, 064103 (2005) quant-ph/0401159
49. Wang Yun-ping, Zhang Dian-lin, Phys. Rev.A 52, 2597 (1995)
50. M.D. Stenner, D.J. Gauthier, M.A. Neifeld: Nature 425, 695 (2003)
51. R.P. Feynman: The Character of Physical Laws (Penguin, London, 1992)