-
2
-
-
0023964986
-
-
a more recent account of these arguments can be found in Proceedings of the International Workshop on Macroscopic Quantum Tunneling and Coherence [J. Supercond. 12(6) (1999)]
-
See, for example, J. Clarke, Science 239, 992 (1988);a more recent account of these arguments can be found in Proceedings of the International Workshop on Macroscopic Quantum Tunneling and Coherence [J. Supercond. 12(6) (1999)].
-
(1988)
Science
, vol.239
, pp. 992
-
-
Clarke, J.1
-
3
-
-
6144283104
-
-
K. Fujikawa, S. Iso, M. Sasaki, and H. Suzuki, Phys. Rev. Lett. 68, 1093 (1992).
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 1093
-
-
Fujikawa, K.1
Iso, S.2
Sasaki, M.3
Suzuki, H.4
-
5
-
-
33646989608
-
-
Phys. Rev. Lett.A. WidomT.D. Clark48, 1572 (1982);
-
(1982)
, vol.48
, pp. 1572
-
-
Widom, A.1
Clark, T.D.2
-
7
-
-
85036330075
-
-
For a critical discussion on the problem, see, for example, A. Ranfagni, D. Mugnai, P. Moretti, and M. Cetica, Trajectories and Rays: The Path-Summation in Quantum Mechanics and Optics (World Scientific, Singapore, 1990), Vol. 1, Chaps. 7–9
-
For a critical discussion on the problem, see, for example, A. Ranfagni, D. Mugnai, P. Moretti, and M. Cetica, Trajectories and Rays: The Path-Summation in Quantum Mechanics and Optics (World Scientific, Singapore, 1990), Vol. 1, Chaps. 7–9.
-
-
-
-
14
-
-
85036246360
-
-
R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965), Chap. 8
-
R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965), Chap. 8.
-
-
-
-
16
-
-
0042920587
-
-
Phys. Rev. BJ.P. Sethna25, 5050 (1982).
-
(1982)
, vol.25
, pp. 5050
-
-
Sethna, J.P.1
-
18
-
-
0010213627
-
-
F. Pignatelli, thesis, University of Florence, 1999 (unpublished)
-
S. Chakravarty and S. Kivelson, Phys. Rev. B 32, 76 (1985);see also A.T. Dorsey, M.P.A. Fisher, and M.S. Wartak, Phys. Rev. A 33, 1117 (1986); F. Pignatelli, thesis, University of Florence, 1999 (unpublished).
-
(1985)
Phys. Rev. B
, vol.32
, pp. 76
-
-
Chakravarty, S.1
Kivelson, S.2
-
23
-
-
0034686176
-
-
P. Moretti, D. Mugnai, F. Pignatelli, and A. Ranfagni, Phys. Lett. A 271, 139 (2000).
-
(2000)
Phys. Lett. A
, vol.271
, pp. 139
-
-
Moretti, P.1
Mugnai, D.2
Pignatelli, F.3
Ranfagni, A.4
-
24
-
-
0000400711
-
-
For the modifications of the bounce trajectory due to dissipative effects, see P. Moretti, D. Mugnai, A. Ranfagni, and M. Cetica, Phys. Rev. A 60, 5087 (1999).
-
(1999)
Phys. Rev. A
, vol.60
, pp. 5087
-
-
Moretti, P.1
Mugnai, D.2
Ranfagni, A.3
Cetica, M.4
-
27
-
-
4243407920
-
-
An analogous expression is given by S.M. Girvin, Phys. Rev. Lett. 64, 3183 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 3183
-
-
Girvin, S.M.1
-
28
-
-
85036216945
-
-
The plausibility of this result is well understood considering that for a sufficient length of the line, and for a short pulse duration (high (Formula presented), the impedance seen by the junction is essentially the same, that is, the characteristic impedance of the line (Formula presented)
-
The plausibility of this result is well understood considering that for a sufficient length of the line, and for a short pulse duration (high (Formula presented), the impedance seen by the junction is essentially the same, that is, the characteristic impedance of the line (Formula presented).
-
-
-
-
29
-
-
85036352212
-
-
One might suspect that the numerical analysis does indeed refer to a complete bounce trajectory, rather than to a half bounce. Under this assumption, the result obtained for (Formula presented) should be reduced to one half, that is, (Formula presented): a value that would make the discrepancy with Eq. (6) much more pronounced, even if still of the right order of magnitude
-
One might suspect that the numerical analysis does indeed refer to a complete bounce trajectory, rather than to a half bounce. Under this assumption, the result obtained for (Formula presented) should be reduced to one half, that is, (Formula presented): a value that would make the discrepancy with Eq. (6) much more pronounced, even if still of the right order of magnitude.
-
-
-
-
31
-
-
35949011572
-
-
The definition of traversal time in tunneling is indeed a complicated question, and many different interpretations can be given [see, for example, E.H. Hauge and J.A. Støvneng, Rev. Mod. Phys. 61, 917 (1989)]. When we refer to the semiclassical traversal time, we mean the one derived in the Wentzel-Kramers-Brillouin nonperturbative semiclassical approximation, as given in Ref. 9. See also Refs. 1929.
-
(1989)
Rev. Mod. Phys.
, vol.61
, pp. 917
-
-
Hauge, E.H.1
Støvneng, J.A.2
|