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Physical Review Letters

Diagonal Coherent-State Representation of Quantum Operators

C. L. Mehta

Published May 1, 1967• 141 citations
Publisher

Abstract

We derive a simple expression for the diagonal coherent-state representation of quantum operators, and discuss some of its applications.Received 16 March 1967DOI:https://doi.org/10.1103/PhysRevLett.18.752©1967 American Physical Society

DOI
10.1103/physrevlett.18.752

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We derive a simple expression for the diagonal coherent-state representation of quantum operators, and discuss some of its applications.Received 16 March 1967DOI:https://doi.org/10.1103/PhysRevLett.18.752©1967 American Physical Society
"The possibility of describing noncommuting operators in quantum mechanics by classical type functions, and the associated expression of operator multiplication, is of considerable interest. The well known Wigner-Weyl-Moyal theory is an important example. Another is the diagonal representation of operators using standard coherent states. We develop general necessary and sufficient conditions for the existence of the diagonal representation in the context of a family of generalised coherent states associated with any unitary irreducible Lie group representation. Several examples illustrating these conditions, and interesting results in the Heisenberg-Weyl case, are presented".