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Quantum Physics

Title: Time-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation

Abstract: A realization of the concept of "crossing state" invoked, but not implemented, by Wigner, allows to advance in two important aspects of the time of arrival in quantum mechanics: (i) For free motion, we find that the limitations described by Aharonov et al. in Phys. Rev. A 57, 4130 (1998) for the time-of-arrival uncertainty at low energies for certain mesurement models are in fact already present in the intrinsic time-of-arrival distribution of Kijowski; (ii) We have also found a covariant generalization of this distribution for arbitrary potentials and positions.
Comments: 4 pages, revtex, 2 eps figures included
Subjects: Quantum Physics (quant-ph)
Journal reference: Phys.Rev.A61:022118,2000
DOI: 10.1103/PhysRevA.61.022118
Report number: ULLFIS 980401
Cite as: arXiv:quant-ph/9904055
  (or arXiv:quant-ph/9904055v2 for this version)

Submission history

From: [view email]
[v1] Tue, 13 Apr 1999 21:32:28 GMT (22kb)
[v2] Wed, 14 Apr 1999 20:35:51 GMT (22kb)