Space-time properties of free motion time-of-arrival eigenstates

Details Space-time properties of free motion time-of-arrival eigenstates Space-time properties of free motion time-of-arrival eigenstates

1998-07-23

arxiv.org/abs/quant-ph/9807066v1

Phys.Rev. A58 (1998) 1

Physics

Quantum Physics

REVTEX, 12 pages, 4 postscript figures

Scientific paper

10.1103/PhysRevA.58.4336

The properties of the time-of-arrival operator for free motion introduced by Aharonov and Bohm and of its self-adjoint variants are studied. The domains of applicability of the different approaches are clarified. It is shown that the arrival time of the eigenstates is not sharply defined. However, strongly peaked real-space (normalized) wave packets constructed with narrow Gaussian envelopes centred on one of the eigenstates provide an arbitrarily sharp arrival time.

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