Phys. Rev. A 67, 012110 (2003) [7 pages]Relativistic analysis of a wave packet interacting with a quantum-mechanical barrierReceived 6 March 2002; revised 6 September 2002; published 30 January 2003 The dynamics of a wave packet incoming on a quantum-mechanical barrier is analyzed in the framework of a fully relativistic model, with particular emphasis on the case of a large spectrum. Some of the characteristic times of tunneling are calculated and compared; they are all of the same order of magnitude and all indicate an apparent superluminal motion, even if causality is maintained. A time-asymptotic expression for the transmitted wave function is derived and its strong validity is shown. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.012110
DOI:
10.1103/PhysRevA.67.012110
PACS:
03.65.Xp, 03.65.Pm
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