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Geometric phase; Bargmann invariant

The kinematic approach to the theory of the geometric phase is outlined. This phase is shown to be the simplest invariant under natural groups of transformations on curves in Hilbert space. The connection to the Bargmann invariant is brought out, and the case of group representations described.

N Mukunda^{1 2}

1. Centre for Theoretical Studies and Department of Physics, Indian Institute of Science, Bangalore - 560 012, India
2. Honorary Professor, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore - 560 064, India

Published

July 1997