Hamiltonian analysis of accurate integration of a three-level quantum model of the Dicke super-radiation
It is proved, that the quantum З-level supperradiance Dicke model is exactly solvable. The Lax representation of the evolutionary equations system is derived basing on the theory of current Lie algebras. The quantum inverse scattering problem method is used to obtain quantum analogues of the action-...
Збережено в:
| Дата: | 1992 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8178 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | It is proved, that the quantum З-level supperradiance Dicke model is exactly solvable. The Lax representation of the evolutionary equations system is derived basing on the theory of current Lie algebras. The quantum inverse scattering problem method is used to obtain quantum analogues of the action-angle variables. The spectra of the energy operator and the other quantum integrals of motion is constructed as well as the exact one- and multiparticles excitation eigenstates of the model. It is shown, that model possesses the states of constrained’ quasiparticles (quantum solitons), which involve the supperradianse pulses. |
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