|
| related topics |
| {time, wave, function} |
| {operator, operators, space} |
| {particle, mechanics, theory} |
| {equation, function, exp} |
| {states, state, optimal} |
| {measurement, state, measurements} |
| {time, systems, information} |
| {energy, gaussian, time} |
| {state, states, coherent} |
| {alice, bob, state} |
|
Time-of-Arrival States
J. Oppenheim, B. Reznik, W. G. Unruh
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9807043
- categories:
- quant-ph gr-qc
- comments:
- 15 pages, 2 figures
- doi:
- 10.1103/PhysRevA.59.1804
- arxiv_id:
- quant-ph/9807043
- journal_ref:
- Phys.Rev. A59 (1999) 1804
- created:
- 1998-07-17
Full article ▸
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