Linear Quantum Transform Theory in Bargmann–Fock Space and Its Preliminary Application1

and

© International Academic Publishers
, , Citation Yong-De Zhang and Zhong Tang 1995 Commun. Theor. Phys. 23 57 DOI 10.1088/0253-6102/23/1/57

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1 Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China

2 Department of Physics, Georgia Institute of Technology, Atlanta, GA 30332, USA

Dates

  1. Received 3 July 1993
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0253-6102/23/1/57

Abstract

A general theory for the linear transform in Bargmann–Fock space of n-mode boson system is presented. The group structure of transform is analyzed and the explicit expressions of transform operations in terms of normal ordering are given. As applications, a series of useful identities are given, the decoupling problem for general two-boson interaction and the normal product calculation of boson exponential quadratic operators are studied.

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10.1088/0253-6102/23/1/57