• Corpus ID: 231709284

Representations of commutation relations in Dissipative Quantum Mechanics

@inproceedings{Makarov2021RepresentationsOC,
  title={Representations of commutation relations in Dissipative Quantum Mechanics},
  author={K. A. Makarov and Eduard Tsekanovskiĭ},
  year={2021}
}
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. 

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