Free particle on SU(2) group manifold
George Chavchanidze, Levan Tskipuri
TL;DR
This paper provides a detailed coordinate-free analysis of the classical and quantum dynamics of a free particle moving on the SU(2) group manifold, enhancing understanding of its geometric and physical properties.
Contribution
It offers a novel coordinate-free framework for describing free particle dynamics on SU(2), bridging classical and quantum perspectives.
Findings
Coordinate-free classical dynamics formulation
Quantum dynamics description on SU(2)
Enhanced understanding of geometric properties
Abstract
In the present paper detailed coordinate free description of the classical and quantum dynamics of free particle on SU(2) group manifold is carried out.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Crystallography and Radiation Phenomena · Quantum and Classical Electrodynamics