A differential structure for quantum mechanics |
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| Authors: | S. Zakrzewski |
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| Affiliation: | Division of Mathematical Methods in Physics University of Warsaw Hoza 74 00-682, Warszawa, Poland |
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| Abstract: | A method of obtaining a non-commutative analogue of a differential structure from the action of a Lie group on a C*-algebra is proposed. The addition of this structure to the usual structure of quantum mechanics turns out to be equivalent to the replacement of the Hilbert space by a Gelfand triple (rigged Hilbert space). |
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| Keywords: | Non-commutative differential structures- C* algebras |
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