Representations of commutation relations in Dissipative Quantum Mechanics
Mathematical Physics
2021-02-16 v2 math.MP
Spectral Theory
Abstract
We prove the uniqueness theorem for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions that are close to unitaries. We also discuss related mathematical problems of continuous monitoring of quantum systems and provide rigorous foundations for the exponential decay phenomenon of a resonant state in quantum mechanics.
Cite
@article{arxiv.2101.10923,
title = {Representations of commutation relations in Dissipative Quantum Mechanics},
author = {K. A. Makarov and E. Tsekanovskii},
journal= {arXiv preprint arXiv:2101.10923},
year = {2021}
}
Comments
170 pages