Стохастическое Приближение В Модели Взаимодействия Частицы С Квантовым Полем И Новая Алгебра

A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We compute matrix elements of the evolution operator in the stochastic approximation and show that depending on the state of the particle one can get the non-exponential decay with the rate t − 3 2 . In the process of computation a new algebra of commutational relations that can be considered as an operator deformation of quantum Boltzmann commutation relations is used.

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Non-exponential decay for Polaron model

Accardi

Козырев

Волович

1999

Physics Letters A

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Оснащенное гильбертово пространство свободных когерентных состояний и $p$-адические числа

Козырев¹

2003

ТМФ

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Стохастическое Приближение В Модели Взаимодействия Частицы С Квантовым Полем И Новая Алгебра

Cited by 2 publications

References 8 publications

Non-exponential decay for Polaron model

Non-exponential decay for Polaron model

Оснащенное гильбертово пространство свободных когерентных состояний и $p$-адические числа

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