Journal of Physics A Mathematical and General

SO(2,1)-invariant systems and the Berry phase

José M. Cerveró, Juan D Lejarreta

Published Jul 21, 1989• 41 citations

Abstract

The general quadratic time-dependent quantum Hamiltonian is analysed using a time-dependent realisation of its SO(2,1) invariance Lie algebra. Several interesting features of this procedure are pointed out. As an example, the authors easily calculate dynamical and geometrical (Berry) phases using only an algebraic procedure. An incorrect result previously published by another author is also pointed out.

DOI: 10.1088/0305-4470/22/14/001

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