Infinite Dimensional Analysis Quantum Probability and Related Topics

PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANN–FOCK SPACES IN THE COMPLEX PLANE

Zouhaı̈r Mouayn, Ahmed Touhami

Published Jun 1, 2010• 8 citations

Abstract

Probability distributions attached to generalized Bargmann–Fock spaces in the complex plane are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, quantum photon counting statistics related to the coherent states under consideration are discussed.

DOI: 10.1142/s021902571000405x

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