Manufacturing time operators: covariance, selection criteria, and examples
arXiv:1005.4991 · doi:10.1103/PhysRevA.82.012113
Abstract
We provide the most general forms of covariant and normalized time operators and their probability densities, with applications to quantum clocks, the time of arrival, and Lyapunov quantum operators. Examples are discussed of the profusion of possible operators and their physical meaning. Criteria to define unique, optimal operators for specific cases are given.
References in corpus (9)
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Time-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation
- Time of arrival in the presence of interactions
- Generalizations of Kijowski's time-of-arrival distribution for interaction potentials
- Operator normalized quantum arrival times in the presence of interactions
- Almost-periodic time observables for bound quantum systems
- On causality, apparent 'superluminality' and reshaping in barrier penetration
- Dwell-time distributions in quantum mechanics
- Low velocity limits of cold atom clocks
Cited by in corpus (12)
- Times of Arrival and Gauge Invariance
- Symmetries and time operators
- A self-adjoint arrival time operator inspired by measurement models
- Can the double-slit experiment distinguish between quantum interpretations?
- Time operators in stroboscopic wavepacket basis and the time scales in tunneling
- Comment on "Quantum phase for an arbitrary system with finite-dimensional Hilbert space"
- Transition Decomposition of Quantum Mechanical Evolution
- Statistical prethermalization in randomly kicked many-body classical rotor system
- Non-Heisenbergian quantum mechanics
- Time operator in QFT with Virasoro constraints
- Quantum nature of time -- proposition of experimental verification
- Time as a dynamical variable in quantum decay