Representations of commutation relations in Dissipative Quantum Mechanics
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2021
- arXiv:
- arXiv:2101.10923
- Bibcode:
- 2021arXiv210110923M
- Keywords:
-
- Mathematical Physics;
- Mathematics - Spectral Theory;
- Primary: 81Q10;
- Secondary: 35P20;
- 47N50
- E-Print:
- 170 pages