Non-commutative integration method and generalized coherent states
A. I. Breev, D. M. Gitman
TL;DR
This paper explores the connection between non-commutative integration solutions of the Schrödinger equation on Lie groups and generalized coherent states, showing their equivalence under certain conditions.
Contribution
It establishes that solutions from the non-commutative integration method are equivalent to generalized coherent states when the {}-representation is real.
Findings
Solutions belong to generalized coherent states class
Equivalence holds for real {}-representations
Provides a link between non-commutative integration and coherent states
Abstract
The relationship between states obtained by the non-commutative integration method of the Schr\"odinger 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 {\lambda}-representation is real.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Spectral Theory in Mathematical Physics · Differential Equations and Boundary Problems