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Differential operators on orbits of coherent states

Authors
  • Berceanu, S.
  • Gheorghe, A.
Type
Preprint
Publication Date
Nov 04, 2002
Submission Date
Nov 04, 2002
Identifiers
arXiv ID: math/0211054
Source
arXiv
License
Unknown
External links

Abstract

We emphasize some properties of coherent state groups, i.e. groups whose quotient with the stationary groups, are manifolds which admit a holomorphic embedding in a projective Hilbert space. We determine the differential action of the generators of the representation of coherent state groups on the symmetric Fock space attached to the dual of the Hilbert space of the representation. This permits a realization by first-order differential operators with holomorphic polynomial coefficients on K\"ahler coherent state orbits.

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