Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem

Vladislav S. Olkhovsky, Erasmo Recami, Jacek Jakiel

备注：: plain (old) LaTeX; 42 pages; plus figures 1, 2, 3, 4a, 4b, and 5
发表信息：: Physics Reports 398 (2004) 133-178
DOI：: 10.1016/j.physrep.2004.06.001

英文摘要：

A unified approach to the time analysis of tunnelling of nonrelativistic particles is presented, in which Time is regarded as a quantum-mechanical observable, canonically conjugated to Energy. The validity of the Hartman effect (independence of the Tunnelling Time of the opaque barrier width, with Superluminal group velocities as a consequence) is verified for ALL the known expressions of the mean tunnelling time. Moreover, the analogy between particle and photon tunnelling is suitably exploited. On the basis of such an analogy, an explanation of some recent microwave and optics experimental results on tunnelling times is proposed. Attention is devoted to some aspects of the causality problem for particle and photon tunnelling.

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