Geometrical phase for a three-dimensional anisotropic quantum well

Details Geometrical phase for a three-dimensional anisotropic quantum well Geometrical phase for a three-dimensional anisotropic quantum well

2004-09-30

arxiv.org/abs/cond-mat/0409754v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, no figures

Scientific paper

A three-dimensional anisotropic quantum well placed in an adiabatically
precessing uniform magnetic field is considered and an explicit formula for the
Berry phase is obtained. To get the Berry phase, a purely algebraic algorithm
of reducing a quadratic Hamiltonian to the canonical form via symplectic
transformations of the phase space is presented.

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