Bounded perturbations of dynamics |
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Authors: | D Buchholz J E Roberts |
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Institution: | (1) CERN, Geneva, Switzerland;(2) UER Expérimentale et Pluridisciplinaire de Luminy et Centre de Physique Théorique, Marseille, France |
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Abstract: | If and ![agr](/content/v23v266216381137/xxlarge945.gif) are one-parameter automorphism groups of a von Neumann algebraM ![agr](/content/v23v266216381137/xxlarge945.gif) is said to be a bounded perturbation of if ![par](/content/v23v266216381137/xxlarge8741.gif) ![agr](/content/v23v266216381137/xxlarge945.gif)
t
–
t
![par](/content/v23v266216381137/xxlarge8741.gif) 0 ast 0. We give a complete characterization of the bounded perturbations ![agr](/content/v23v266216381137/xxlarge945.gif) of . In particular, we show that if can be implemented by a strongly continuous one-parameter group with self-adjoint generator (Hamiltonian)H, then ![agr](/content/v23v266216381137/xxlarge945.gif) can be implemented in the same way and the corresponding HamiltonianH can be chosen to be of the formH =VHV
–1+h, whereV is a unitary ofM andh=h* M.On leave of absence from II. Institut für Theoretische Physik, Universität Hamburg, D-2000 Hamburg 50, Federal Republic of Germany |
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Keywords: | |
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