Time as a quantum observable
arXiv:quant-ph/0605069 · doi:10.1142/S0217751X0703724X
Abstract
Some results are reviewed and developments are presented on the study of Time in quantum mechanics as an observable, canonically conjugate to energy. Operators for the observable Time are investigated in particle and photon quantum theory. In particular, this paper deals with the hermitian (more precisely, maximal hermitian, but non-selfadjoint) operator for Time which appears: (i) for particles, in ordinary non-relativistic quantum mechanics; and (ii) for photons, in first-quantization quantum electrodynamics.
19 pages, including two Figures. [The source-file is in Word]
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Cited by in corpus (15)
- Quantization of the black hole area as quantization of the angular momentum component
- Time Crystals from Minimum Time Uncertainty
- A dynamical time operator in Dirac's relativistic quantum mechanics
- The Pauli objection
- On non-selfadjoint operators for observables in quantum mechanics and quantum field theory
- Existence and nonexistence of an intrinsic tunneling time
- Discreteness of time in the evolution of the universe
- The problem of time in quantum mechanics
- A study of transit times in Dirac tunneling
- Relativistic tunneling through opaque barriers
- A Modular Operator Approach to Entanglement of Causally Closed Regions
- Self-Adjoint Time Operator of a Quantum Field
- Derivation of the deformed Heisenberg algebra from discrete spacetime
- Time operator in QFT with Virasoro constraints
- Proper time operator and its uncertainty relation