Representations of commutation relations in Dissipative Quantum Mechanics
arXiv:2101.10923
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.
170 pages