A COVARIANT GENERALIZATION OF BERRY’S PHASE
- 20 June 1989
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 04 (12) , 1143-1149
- https://doi.org/10.1142/s0217732389001325
Abstract
A covariant generalization of Berry’s phase is obtained from the proper time Schrödinger equation in which the role of Hamiltonian is played by the rest mass square operator. When this has degenerate eigenvalues, non-Abelian gauge fields arise in the manner shown by Wilczek and Zee for non-relativistic systems. The manifold of degenerate states corresponds to isotopic spin space.Keywords
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