Time in Quantum Mechanics and Quantum Field Theory
arXiv:quant-ph/0211047 · doi:10.1088/0305-4470/36/18/317
Abstract
W. Pauli pointed out that the existence of a self-adjoint time operator is incompatible with the semibounded character of the Hamiltonian spectrum. As a result, people have been arguing a lot about the time-energy uncertainty relation and other related issues. In this article, we show in details that Pauli's definition of time operator is erroneous in several respects.
20 pages
References in corpus (7)
- Time-of-arrival in quantum mechanics
- 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
- Free motion time-of-arrival operator and probability distribution
- ``Weighing'' a closed system and the time-energy uncertainty principle
- Decoherent Histories Approach to the Arrival Time Problem
- Quantum probability distribution of arrival times and probability current density