How to Introduce Time Operator
arXiv:quant-ph/0609211 · doi:10.1016/j.aop.2006.10.007
Abstract
Time operator can be introduced by three different approaches: by pertaining it to dynamical variables; by quantizing the classical expression of time; taken as the restriction of energy shift generator to the Hilbert space of a physical system.
17 pages, accepted to be published in Annals of Physics
References in corpus (8)
- How much time does a tunneling particle spend in the barrier region?
- Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem
- Positive-Operator-Valued Time Observable in Quantum Mechanics
- Free motion time-of-arrival operator and probability distribution
- Confined Quantum Time of Arrivals
- Space-time properties of free motion time-of-arrival eigenstates
- Observability of the arrival time distribution using spin-rotator as a quantum clock
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Cited by in corpus (13)
- Applied Bohmian Mechanics
- On non-selfadjoint operators for observables in quantum mechanics and quantum field theory
- Linear Canonical Transformations in Relativistic Quantum Physics
- Time Operator in Relativistic Quantum Mechanics
- Self-Adjoint Time Operator of a Quantum Field
- On a new formula relating localisation operators to time operators
- Another derivation of Weinberg's formula
- Time of arrival operator in the momentum space
- Arrival time in quantum field theory
- The role of conjugacy in the dynamics of time of arrival operators
- Proper time operator and its uncertainty relation
- Energy-time uncertainty relation from entropy measures
- Time operator in QFT with Virasoro constraints