Time-of-arrival formalism for the relativistic particle
arXiv:quant-ph/9608013 · doi:10.1088/0305-4470/30/13/027
Abstract
A suitable operator for the time-of-arrival at a detector is defined for the free relativistic particle in 3+1 dimensions. For each detector position, there exists a subspace of detected states in the Hilbert space of solutions to the Klein Gordon equation. Orthogonality and completeness of the eigenfunctions of the time-of-arrival operator apply inside this subspace, opening up a standard probabilistic interpretation.
16 pages, no figures, uses LaTeX. The section "Interpretation" has been completely rewritten and some errors corrected
References in corpus (1)
Cited by in corpus (33)
- Partial observables
- Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem
- Measurement of Time-of-Arrival in Quantum Mechanics
- Arrival time in quantum mechanics
- Free motion time-of-arrival operator and probability distribution
- Spacetime states and covariant quantum theory
- Space-time properties of free motion time-of-arrival eigenstates
- Localization of Events in Space-Time
- Quantum measurements of time
- Time of arrival in the presence of interactions
- Transition from discrete to continuous time of arrival distribution for a quantum particle
- Trajectories for the Wave Function of the Universe from a Simple Detector Model
- Time-of-arrival probabilities for general particle detectors
- Quantum probability distribution of arrival times and probability current density
- Time as a quantum observable
- Gravitational decoherence of photons
- Quantum Field Theory based Quantum Information: Measurements and Correlations
- Time of arrival and localization of relativistic particles
- Time-of-Arrival States
- Transmission time of wave packets through tunneling barriers
- On non-selfadjoint operators for observables in quantum mechanics and quantum field theory
- Quantum Coordinates of an Event in Local Quantum Physics
- Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy
- The Bender-Dunne basis operators as Hilbert space operators
- Quantum Time and Spatial Localization: An Analysis of the Hegerfeldt Paradox
- Arrival Time in Relativistic Quantum Mechanics
- A one-particle time of arrival operator for a free relativistic spin-0 charged particle in (1+1) dimensions
- Relativistic free-motion time-of-arrival
- Pointer-based model for state reduction in momentum space
- Relativistic time-of-arrival measurements: predictions, post-selection and causality problem
- Quantum stroboscopy for time measurements
- Quantum probabilities for the causal ordering of events
- Qubit-based momentum measurement of a particle