A New Time-Scale for Tunneling

Foundations of Physics

Volumn 27, Issue 2, 1997, Pages 191-202

  Eisenberg, E ^a   Ashkenazy, Y ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031480713     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02550449     Document Type: Article

References (23)

1. For example, see L. A. McColl, Phys. Rev. 40, 621 (1932).
2. E. P. Wigner, Phys. Rev. 98, 145 (1955).
3. M. Büttiker and R. Landauer, Phys. Rev. Lett. 49, 1739 (1982).
4. E. H. Hauge and J. A. Støvneng, Rev. Mod. Phys. 61, 917 (1989).
5. V. S. Olkhovsky and E. Recami, Phys. Rep. 214, 339 (1992).
6. R. Landauer and T. Martin, Rev. Mod. Phys. 66, 217 (1994).
7. See, e.g., P. Gueret, E. Marclay, and H. Meier, Appl. Phys. Lett. 53, 1617 (1988).
8. E. H. Hauge, J. P. Falck, and T. A. Fjeldly, Phys. Rev. B 36, 4203 (1987).
9. R. Landauer and T. Martin, Solid State Commun. 84, 115 (1992).
10. A. I. Baz', Yad. Fiz. 4, 252 [Sov. J. Nucl. Phys. 4, 229] (1967).
11. M. Büttiker, Phys. Rev. B 21, 6178 (1983).
12. D. Sokolovsky and L. M. Baskin, Phys. Rev. A 36, 4604 (1987).
13. M. Büttiker and R. Landauer, Phys. Scr. 32, 429 (1985).
14. R. S. Dumont and T. L. Marchioro II, Phys. Rev. A 47, 85 (1993).
15. A. M. Steinberg, Phys. Rev. Lett. 74, 2405 (1995).
16. L. P. Horwitz, private communication. We thank L. P. Horwitz for communication on this point, as well as for a discussion of its relevance to this work.
17. U. Grenander and G. Szego, Toeplitz Forms and Their Applications (University of California, Berkeley, 1958).
18. A. Baram, Mol. Phys. 41, 823 (1980); M. Gilibert, A. Baram, I. Last, H. Szichman, and M. Baer, J. Chem. Phys. 99, 3503 (1993); H. Eisenberg, S. Ron, and M. Baer, J. Chem. Phys. 101, 3802 (1994).
19. A. Baram, Mol. Phys. 41, 823 (1980); M. Gilibert, A. Baram, I. Last, H. Szichman, and M. Baer, J. Chem. Phys. 99, 3503 (1993); H. Eisenberg, S. Ron, and M. Baer, J. Chem. Phys. 101, 3802 (1994).
20. A. Baram, Mol. Phys. 41, 823 (1980); M. Gilibert, A. Baram, I. Last, H. Szichman, and M. Baer, J. Chem. Phys. 99, 3503 (1993); H. Eisenberg, S. Ron, and M. Baer, J. Chem. Phys. 101, 3802 (1994).
21. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd edn. (Cambridge University, Cambridge, 1995).
22. J. A. Stovneng and E. H. Hauge, J. Stat. Phys. 57, 841 (1989). See also comment by M. Bütliker and R. Landauer, ibid 58, 371 (1990), which criticizes their interpretation. Our approach is consistent with the ideas of this comment. However, no solution for the aparenl contradiction between the Larmor times (11) and the oscillating barrier time scale (12) found in the above paper was given in this comment. We suggest the two time scales approach to solve this difficulty.
23. J. A. Stovneng and E. H. Hauge, J. Stat. Phys. 57, 841 (1989). See also comment by M. Bütliker and R. Landauer, ibid 58, 371 (1990), which criticizes their interpretation. Our approach is consistent with the ideas of this comment. However, no solution for the aparenl contradiction between the Larmor times (11) and the oscillating barrier time scale (12) found in the above paper was given in this comment. We suggest the two time scales approach to solve this difficulty.