Smooth Loops, Generalized Coherent States and Geometric Phases
Alexander I. Nesterov, Lev V. Sabinin

TL;DR
This paper explores the mathematical framework of smooth loops to describe generalized coherent states and geometric phases, providing a unified geometric perspective on these quantum phenomena.
Contribution
It introduces a novel approach linking smooth loop theory with coherent states and geometric phases, expanding the mathematical tools available for quantum state analysis.
Findings
Unified geometric framework for coherent states and phases
Application of smooth loops to quantum state descriptions
Enhanced understanding of geometric phases in quantum mechanics
Abstract
A description of generalized coherent states and geometric phases in the light of the general theory of smooth loops is given.
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