On the essential spectrum of two-dimensional Pauli operators with repulsive potentials

Published 27 May 2014 in math-ph and math.MP | (1405.6764v2)

Abstract: We investigate the spectrum of the two-dimensional Pauli operator, describing a spin-$1/2$ particle in a magnetic field $B$, with a negative scalar potential $V$ such that $|V|$ grows at infinity. In particular, we obtain criteria for discrete and dense pure-point spectrum.

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Authors (1)

Josef Mehringer

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