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Journal of Shaoguan University

The Solution of Schr dinger Equation in Even Magnetic Field

Xiao Li

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

In even magnetic field,the degeneracy of two gauges is calculated when magnetic field is confined in a cylindrical domain.The solution method of Schrdinger equation is introduced.

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The algebriaic dynamics is applied to investigate the geometric phase of a Heisenberg-chain in a rotating magnetic field.It is a su(2) algebraically symmetric 3-spin12 system with partially anisotropic coupling.The exact analytical solution of the time dependent Schrdinger equation and the geometric phases of this system are obtained in terms of gauge transformation and algebriaic dynamics.The partially anisotropic coupling is then extended to a more general coupling and the adiabatic geometric phases of the extended system are calculated.We find that the coupling strengths have no impact on the adiabatic geometric phases of the system.