Geometric Properties of Quantum Phases

Physics – Mathematical Physics

Scientific paper

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9 pages

Scientific paper

The Aharonov-Anandan phase is introduced from a physical point of view.
Without reference to any dynamical equation, this phase is formulated by
defining an appropriate connection on a specific fibre bundle. The holonomy
element gives the phase. By introducing another connection, the Pancharatnam
phase formula is derived following a different procedure.

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