Time-of-Arrival States

Details Time-of-Arrival States Time-of-Arrival States

1998-07-17

arxiv.org/abs/quant-ph/9807043v1

Phys.Rev. A59 (1999) 1804

Physics

Quantum Physics

15 pages, 2 figures

Scientific paper

10.1103/PhysRevA.59.1804

Although one can show formally that a time-of-arrival operator cannot exist, one can modify the low momentum behaviour of the operator slightly so that it is self-adjoint. We show that such a modification results in the difficulty that the eigenstates are drastically altered. In an eigenstate of the modified time-of-arrival operator, the particle, at the predicted time-of-arrival, is found far away from the point of arrival with probability 1/2.

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