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Physics of Particles and Nuclei Letters

Geometric phases and exactly solvable time-dependent potentials

A. A. Suzko

Published Mar 1, 2007• 0 citations
Publisher

Abstract

A method of constructing periodic time-dependent Hamiltonians admitting exact solutions is used to study the geometric phase. The approach is based on the transformation of soluble time-independent equations into time-dependent ones by employing a set of special time-dependent transformation operators. A class of periodic time-dependent Hamiltonians with cyclic solutions is constructed in a closed analytic form and the nonadiabatic geometric phase is determined in terms of the obtained solutions.

DOI
10.1134/s1547477107020100

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