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Geometrical phase for a three-dimensional anisotropic quantum well

V. A. Geyler·A. V. Shorokhov
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Abstract

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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V. A. Geyler, A. V. Shorokhov. 2004-09-30. Geometrical phase for a three-dimensional anisotropic quantum well. https://arxiv.org/abs/cond-mat/0409754

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