After having recalled some definitions concerning quantum stochastic processes and in particular quantum Brownian motions, a general scheme is introduced which allows a unified approach to the weak coupling and the singular coupling limits. The analogies and differences between the two are discussed. The main difference consists in the fact that, in the singular coupling limit, the use of a Hamiltonian unbounded below seems to be unavoidable, while this is not the case for the weak coupling limit.
Accardi, L., Frigerio, A., Lu, Y. (1992). On the relation between the singular and the weak coupling limits. ACTA APPLICANDAE MATHEMATICAE, 26(3), 197-208 [10.1007/BF00047202].
On the relation between the singular and the weak coupling limits
ACCARDI, LUIGI;
1992-01-01
Abstract
After having recalled some definitions concerning quantum stochastic processes and in particular quantum Brownian motions, a general scheme is introduced which allows a unified approach to the weak coupling and the singular coupling limits. The analogies and differences between the two are discussed. The main difference consists in the fact that, in the singular coupling limit, the use of a Hamiltonian unbounded below seems to be unavoidable, while this is not the case for the weak coupling limit.| File | Dimensione | Formato | |
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ACFriLu91h_singular_weak coupling limits.pdf
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