Time-of-Arrival States
arXiv:quant-ph/9807043 · doi:10.1103/PhysRevA.59.1804
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.
15 pages, 2 figures
References in corpus (4)
Cited by in corpus (12)
- Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
- Signal velocity, causality, and quantum noise in superluminal light pulse propagation
- Free motion time-of-arrival operator and probability distribution
- Generalizations of Kijowski's time-of-arrival distribution for interaction potentials
- Quantum evolution according to real clocks
- Time-of-arrival distributions from position-momentum and energy-time joint measurements
- Quantum Backflow States from Eigenstates of the Regularized Current Operator
- A self-adjoint arrival time operator inspired by measurement models
- Back-Reaction of Clocks and Limitations on Observability in Closed Systems
- Investigation of a quantum mechanical detector model for moving, spread-out particles
- Temporal Ordering in Quantum Mechanics
- Generalized Weyl quantization on the cylinder and quantum phase