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Bohm trajectory and Feynman path approaches to the ldquoTunneling time problemrdquo

C. R. Leavens1

(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 psgr 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: ¦psgr¦2=[¦psgr¦2]T+[¦psgr¦2]R (Bohm trajectory approach); psgr=psgrT+psgrR (Feynman path approach).

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Referenced by
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  1. Sokolovski, D. (1998) From Feynman histories to observables. Physical Review A 57(3)
    [CrossRef]
  2. Ghose, Partha (2001) An experiment to distinguish between de Broglie-Bohm and standard quantum mechanics. Pramana 56(2-3)
    [CrossRef]
  3. Yamada, Norifumi (2007) Decoherent histories approach to tunneling times and its implication. Journal of Physics Conference Series 67
    [CrossRef]
  4. Shojai, A (2005) Causal loop quantum gravity and cosmological solutions. Europhysics Letters (EPL) 71(6)
    [CrossRef]
  5. Jaubert, L D C (2007) Semiclassical tunnelling of wavepackets with real trajectories. Physica Scripta 75(3)
    [CrossRef]
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    [CrossRef]
  7. Kobe, Donald H. (2001) Tunneling time through a barrier using the local value of a “time” operator. Physical Review A 64(2)
    [CrossRef]
  8. Abolhasani, M. (2000) Tunneling times in the Copenhagen interpretation of quantum mechanics. Physical Review A 62(1)
    [CrossRef]
  9. Sokolovski, D. (2000) Semiclassical traversal time analysis of superluminal tunneling. Physical Review A 63(1)
    [CrossRef]
  10. Sokolovski, D. (1997) Beyond the Schrödinger Equation: Quantum Motion with Traversal Time Control. Physical Review Letters 79(25)
    [CrossRef]
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