تقرير
Representations of commutation relations in Dissipative Quantum Mechanics
| العنوان: | Representations of commutation relations in Dissipative Quantum Mechanics |
|---|---|
| المؤلفون: | Makarov, K. A., Tsekanovskii, E. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Spectral Theory, Primary: 81Q10, Secondary: 35P20, 47N50 |
| الوصف: | 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. Comment: 170 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2101.10923 |
| رقم الأكسشن: | edsarx.2101.10923 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |