BOHM TRAJECTORY AND FEYNMAN PATH APPROACHES TO THE TUNNELING TIME PROBLEM

Authors
Citation
Cr. Leavens, BOHM TRAJECTORY AND FEYNMAN PATH APPROACHES TO THE TUNNELING TIME PROBLEM, Foundations of physics, 25(2), 1995, pp. 229-268
Citations number
54
Categorie Soggetti
Physics
Journal title
ISSN journal
00159018
Volume
25
Issue
2
Year of publication
1995
Pages
229 - 268
Database
ISI
SICI code
0015-9018(1995)25:2<229:BTAFPA>2.0.ZU;2-H
Abstract
A comparison is made between the Bohm trajectory and Feynman path appr oaches to the long-standing problem of determining the average time ta ken for a particle described by the Schrodinger wave function psi to t unnel 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 fr equently cited approaches based on conventional interpretations. Empha sis is given to the fact the fundamentally different transmission (T)- reflection (R) decompositions, particlelike and wavelike respectively, are central to the two methods: \psi\(2) = [\psi\(2)](T) + [\psi\(2)] (R) (Bohm trajectory approach); psi = psi(T) + psi(R) (Feynman path ap proach).