
handle: 2108/82789
Summary: This article introduces the notion of mean quantum sojourn time for a quantum dynamical semigroup acting over an arbitrary von Neumann algebra. This notion is used to analyze the asymptotic behaviour of the underlying dynamics and allows one to include, as a particular case, earlier classification of states obtained in scattering theory. Furthermore, certain connections with convergence towards an equilibrium, as well as with spectral-type measures, are studied.
Applications of functional analysis in quantum physics, quantum dynamical semigroup, Applications of selfadjoint operator algebras to physics, asymptotic behaviour, mean quantum sojourn time, Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA, spectral-type measures, Selfadjoint operator theory in quantum theory, including spectral analysis
Applications of functional analysis in quantum physics, quantum dynamical semigroup, Applications of selfadjoint operator algebras to physics, asymptotic behaviour, mean quantum sojourn time, Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA, spectral-type measures, Selfadjoint operator theory in quantum theory, including spectral analysis
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