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

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.

20 pages, Defintion 1 is modified besides minor corrections, to appear in Ann. Henri Poincare

References in corpus (1)

• Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators