Diffeomorphism Groups, Quasi-Invariant Measures, and Infinite Quantum Systems

Gerald A. Goldin and Ugo Moschella
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Gerald A. Goldin: Rutgers University New Brunswick, Departments of Mathematics and Physics
Ugo Moschella: CEA-Saclay, Service de Physique Théorique

A chapter in Symmetries in Science VIII, 1995, pp 159-172 from Springer

Abstract: Abstract This paper provides a brief introduction to how unitary representations of diffeomorphism groups can describe certain quantum systems having infinitely many degrees of freedom. It is a partial report of our joint work [1], based on the August 1994 talk by the first author at the Symmetries in Science VIII conference in Bregenz, Austria. We would like to express appreciation to the conference organizers, especially Professor Bruno Gruber, for the opportunity to present our results.

Keywords: Unitary Representation; Configuration Space; Semidirect Product; Infinite Product; Diffeomorphism Group (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1915-7_13

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DOI: 10.1007/978-1-4615-1915-7_13

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