Titlebook: Generalized Coherent States and Their Applications; Askold Perelomov Book 1986 Springer-Verlag Berlin Heidelberg 1986 Applications.classic

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Mammal

Coherent States for Arbitrary Lie Groups concept of the coherent state is introduced for arbitrary Lie groups and some of their properties are investigated. A reader whose interests lie mostly in CS for the simplest Lie groups may skip this chapter.

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Peristalsis

GRIEF

The Lorentz Group: ,(3, 1)e two- sheeted hyperboloid in the Minkowski space. From another point of view, this CS system has been considered in [89]. It was found to be suitable for a number of problems in relativistic physics and representation theory.

STENT

Discrete Series of Representations: The General Casely, for groups of motion for complex homogeneous symmetric bounded domains. The CS systems considered are parametrized by the domain points; they are expressed in terms of the Bergmann kernel for this domain. Recall the simplest case, the .(1, 1) group, considered in Chap. 5.

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1864-5879 plications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has be

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Introductionthe eminent scientists did not attract undue attention. It was only in the early sixties that the approach was thoroughly studied [3–6]. Glauber [7,8] named the states invented by Schrödinger the . (CS) and showed that they are adequate to describe a coherent laser beam in the framework of quantum theory.

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