On the time evolution automorphisms of the CCR-algebra for quantum mechanics |
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| Authors: | M. Fannes A. Verbeure |
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| Affiliation: | (1) Katholieke Universiteit Leuven, Belgium;(2) Institute voor Theoretische Natuurkunde, Celestijnenlaan 200 D, B-3030 Heverlee, Belgium;(3) N.F.W.O., Belgium |
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| Abstract: | In ordinary quantum mechanics for finite systems, the time evolution induced by Hamiltonians of the form is studied from the point of view of *-automorphisms of the CCRC*-algebra (see Ref. [1, 2]). It is proved that those Hamiltonians do not induce *-automorphisms of this algebra in the cases: a) and b)V  L ( ,dx)  L1 (,dx), except when the potential is trivial. |
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