Quantum probability distribution of arrival times and probability current density
arXiv:quant-ph/9805058 · doi:10.1103/PhysRevA.59.1010
Abstract
This paper compares the proposal made in previous papers for a quantum probability distribution of the time of arrival at a certain point with the corresponding proposal based on the probability current density. Quantitative differences between the two formulations are examined analytically and numerically with the aim of establishing conditions under which the proposals might be tested by experiment. It is found that quantum regime conditions produce the biggest differences between the formulations which are otherwise near indistinguishable. These results indicate that in order to discriminate conclusively among the different alternatives, the corresponding experimental test should be performed in the quantum regime and with sufficiently high resolution so as to resolve small quantum efects.
21 pages, 7 figures, LaTeX; Revised version to appear in Phys. Rev. A (many small changes)
References in corpus (10)
- Time-of-arrival in quantum mechanics
- Measurement of Time-of-Arrival in Quantum Mechanics
- Testing the equivalence principle through freely falling quantum objects
- Arrival time in quantum mechanics
- Positive-Operator-Valued Time Observable in Quantum Mechanics
- The time of arrival concept in quantum mechanics
- Time-of-arrival formalism for the relativistic particle
- Decoherent Histories Approach to the Arrival Time Problem
- Probability distribution of arrival times in quantum mechanics
- Gravitation at the mesoscopic scale
Cited by in corpus (19)
- Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem
- Probing Quantum Aspects of Gravity
- Arrival Time Distributions of Spin-1/2 Particles
- Generalizations of Kijowski's time-of-arrival distribution for interaction potentials
- Time as a quantum observable
- Time-of-arrival distributions from position-momentum and energy-time joint measurements
- On the quantum analogue of Galileo's leaning tower experiment
- Ambiguities of arrival-time distributions in quantum theory
- Phonon emission and arrival times of electrons from a single-electron source
- Spin dependent observable effect for free particles using the arrival time distribution
- Times of Arrival and Gauge Invariance
- Energy relaxation in hot electron quantum optics via acoustic and optical phonon emission
- On non-selfadjoint operators for observables in quantum mechanics and quantum field theory
- Quantum time of flight distribution for cold trapped atoms
- Observability of the arrival time distribution using spin-rotator as a quantum clock
- Time in Quantum Mechanics and Quantum Field Theory
- Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
- Effect of quantum statistics on the gravitational weak equivalence principle
- Quantum interference in the time-of-flight distribution