00-218 Pavel Exner, Vladimir A. Geyler

Berry phase for a potential well transported in a homogeneous magnetic field (12K, LaTeX) May 10, 00

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Abstract. We consider a two-dimensional particle of charge $e$ interacting with a homogeneous magnetic field perpendicular to the plane and a potential well which is transported along a closed loop in the plane. We show that a bound state corresponding to a simple isolated eigenvalue acquires at that Berry's phase equal to $2\pi\,{\rm sgn}\,e$ times the number of flux quanta through the oriented area encircled by the loop. We also argue that this is a purely quantum effect since the corresponding Hannay angle is zero.

Files: 00-218.tex