Geometric Phase in Quaternionic Quantum Mechanics
M. D. Maia, V. B. Bezerra
TL;DR
This paper explores the geometric phase phenomenon within quaternionic quantum mechanics, deriving a general phase expression based on quaternion algebra properties, and analyzing its implications under SU(2) gauge symmetry.
Contribution
It introduces a novel quaternionic phase expression derived from quaternion algebra, expanding the understanding of geometric phases in quaternionic quantum systems.
Findings
Derived a general quaternionic phase expression.
Analyzed implications under SU(2) gauge symmetry.
Enhanced understanding of quaternionic geometric phases.
Abstract
Quaternion quantum mechanics is examined at the level of unbroken SU(2) gauge symmetry. A general quaternionic phase expression is derived from formal properties of the quaternion algebra.
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