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The Marsden–Weinstein reduction structure of integrable dynamical systems and a generalized exactly solvable quantum superradiance modelстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 26 августа 2016 г.
- Авторы: Bogolubov N.N.Jr, Prykarpatsky Y.A.
- Журнал: International Journal of Modern Physics B
- Том: 27
- Номер: 08
- Год издания: 2013
- Издательство: World Scientific Publishing Co
- Местоположение издательства: Singapore
- Первая страница: 1350002
- DOI: 10.1142/s0217979213500021
- Аннотация: An approach to describing nonlinear Lax type integrable dynamical systems of modern mathematical and theoretical physics, based on the Marsden–Weinstein reduction method on canonically symplectic manifolds with group symmetry, is proposed. Its natural relationship with the well-known Adler–Kostant–Souriau–Berezin–Kirillov method and the associated R-matrix approach is analyzed. A new generalized exactly solvable spatially one-dimensional quantum superradiance model, describing a charged fermionic medium interacting with external electromagnetic field, is suggested. The Lax type operator spectral problem is presented, the related R-structure is calculated. The Hamilton operator renormalization procedure subject to a physically stable vacuum is described, the quantum excitations and quantum solitons, related with the thermodynamical equilibrity of the model, are discussed.
- Добавил в систему: Боголюбов Николай Николаевич