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

Cupping

進(jìn)入

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 Schr?dinger the . (CS) and showed that they are adequate to describe a coherent laser beam in the framework of quantum theory.

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