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Non-commutative integration method and generalized coherent states

A. I. Breev, D. M. Gitman

Abstract

The relationship between states obtained by the non-commutative integration method of the Schrödinger equation on Lie groups and generalized coherent states is investigated. It is shown that such solutions belong to the class of generalized coherent states when the corresponding λ-representation is real.

Non-commutative integration method and generalized coherent states

Abstract

The relationship between states obtained by the non-commutative integration method of the Schrödinger equation on Lie groups and generalized coherent states is investigated. It is shown that such solutions belong to the class of generalized coherent states when the corresponding λ-representation is real.
Paper Structure (6 sections, 79 equations)

This paper contains 6 sections, 79 equations.

Table of Contents

  1. Introduction
  2. Generalized coherent states on Lie groups
  3. $\lambda$-representation of a Lie group
  4. Non-commutative reduction
  5. Coherent states of the rotation group $SO(3)$
  6. Concluding remarks