Geometric Phases and Mielnik's Evolution Loops

Details Geometric Phases and Mielnik's Evolution Loops Geometric Phases and Mielnik's Evolution Loops

1994-10-27

arxiv.org/abs/hep-th/9410213v1

Int.J.Theor.Phys. 33 (1994) 2037-2048

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, harvmac, 2 figures available upon request; CINVESTAV-FIS GFMR 11/94

Scientific paper

10.1007/BF00675169

The cyclic evolutions and associated geometric phases induced by time-independent Hamiltonians are studied for the case when the evolution operator becomes the identity (those processes are called {\it evolution loops}). We make a detailed treatment of systems having equally-spaced energy levels. Special emphasis is made on the potentials which have the same spectrum as the harmonic oscillator potential (the generalized oscillator potentials) and on their recently found coherent states.

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