Self-Adjoint Time Operator of a Quantum Field
arXiv:2111.01534 · doi:10.1142/S0219749919410168
Abstract
We study the properties of a quantum field with time as a dynamical variable. Temporal vibrations are introduced to restore the symmetry between time and space in a matter field. The system with vibrations of matter in time and space obeys the Klein-Gordon equation and Schrodinger equation. The energy observed is quantized under the constraint that a particle's mass is on shell. This real scalar field has the same properties of a zero-spin bosonic field. Furthermore, the internal time of this system can be represented by a self-adjoint operator without contradicting the Pauli's theorem. Neutrino can be an interesting candidate for investigating the effects of these temporal and spatial vibrations because of its extremely light weight.
16 pages. Published version
References in corpus (14)
- Problem of Time in Quantum Gravity
- Measurement of Time-of-Arrival in Quantum Mechanics
- Pauli's Theorem and Quantum Canonical Pairs: The Consistency Of a Bounded, Self-Adjoint Time Operator Canonically Conjugate to a Hamiltonian with Non-empty Point Spectrum
- Time in quantum physics: From an external parameter to an intrinsic observable
- ``Weighing'' a closed system and the time-energy uncertainty principle
- How to Introduce Time Operator
- A dynamical time operator in Dirac's relativistic quantum mechanics
- Time as a quantum observable
- Quantum Arrival and Dwell Times via Idealised Clocks
- Symmetries and time operators
- Tunneling times with covariant measurements
- Existence and nonexistence of an intrinsic tunneling time
- Study of a self-adjoint operator indicating the direction of time within standard quantum mechanics
- Dwell-time distributions in quantum mechanics