A six-angle parametrization of Bargmann invariants is shown to have five independent angles for two-state systems and six for three or more levels, with an explicit formula for the three-level geometric phase and a Schwinger-Majorana decomposition.
Schwinger, `On angular momentum', USAEC Report NY0-3071 (unpublished); reprinted in `Quantum Theory of Angular Momentum', edited by L
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Geometric phases for finite-dimensional systems -- the roles of Bargmann Invariants, Null Phase Curves and the Schwinger Majorana SU(2) framework
A six-angle parametrization of Bargmann invariants is shown to have five independent angles for two-state systems and six for three or more levels, with an explicit formula for the three-level geometric phase and a Schwinger-Majorana decomposition.