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Journal Article
Bohm trajectory and Feynman path approaches to the “Tunneling time problem”
Journal
Foundations of Physics
Publisher
Springer Netherlands
ISSN
0015-9018 (Print) 1572-9516 (Online)
Issue
Volume 25, Number 2 / February, 1995
DOI
10.1007/BF02055206
Pages
229-268
Subject Collection
Physics and Astronomy
SpringerLink Date
Thursday, August 18, 2005
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Bohm trajectory and Feynman path approaches to the
Tunneling time problem
C. R. Leavens
1
(1)
Institute for Microstructural Sciences, National Research Council of Canada, K1A 0R6 Ottawa, Canada
Received:
18 January 1994
Revised:
15 April 1994
Abstract
A comparison is made between the Bohm trajectory and Feynman path approaches to the long-standing problem of determining the average lime taken for a particle described by the Schrödinger wave function
to tunnel through a potential barrier. The former approach follows simply and uniquely from the basic postulates of Bohm's causal interpretation of quantum mechanics; the latter is intimately related to the most frequently cited approaches based on conventional interpretations. Emphasis is given to the fact that fundamentally different transmission (T)-reflection (R) decompositions, particlelike and wavelike respectively, are central to the two methods: ¦
¦
2
=[¦
¦
2
]
T
+[¦
¦
2
]
R
(Bohm trajectory approach);
=
T
+
R
(Feynman path approach).
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Referenced by
13 newer articles
Sokolovski, D. (1998) From Feynman histories to observables.
Physical Review A
57(3)
[CrossRef]
Ghose, Partha (2001) An experiment to distinguish between de Broglie-Bohm and standard quantum mechanics.
Pramana
56(2-3)
[CrossRef]
Yamada, Norifumi (2007) Decoherent histories approach to tunneling times and its implication.
Journal of Physics Conference Series
67
[CrossRef]
Shojai, A (2005) Causal loop quantum gravity and cosmological solutions.
Europhysics Letters (EPL)
71(6)
[CrossRef]
Jaubert, L D C (2007) Semiclassical tunnelling of wavepackets with real trajectories.
Physica Scripta
75(3)
[CrossRef]
Yamada, Norifumi (1996) Probabilities for histories in nonrelativistic quantum mechanics.
Physical Review A
54(1)
[CrossRef]
Kobe, Donald H. (2001) Tunneling time through a barrier using the local value of a “time” operator.
Physical Review A
64(2)
[CrossRef]
Abolhasani, M. (2000) Tunneling times in the Copenhagen interpretation of quantum mechanics.
Physical Review A
62(1)
[CrossRef]
Sokolovski, D. (2000) Semiclassical traversal time analysis of superluminal tunneling.
Physical Review A
63(1)
[CrossRef]
Sokolovski, D. (1997) Beyond the Schrödinger Equation: Quantum Motion with Traversal Time Control.
Physical Review Letters
79(25)
[CrossRef]
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