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

2014/05/26 by Josef Mehringer, Mehringer, Josef
Computer Science · Mathematics · Physics and Astronomy · #47A25 #81Q10 (Primary) #81Q80 (Secondary) #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:47A25 #msc:81Q10 #msc:81Q80

paper · pdf · doi:10.48550/arxiv.1405.6764

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

openalex publication_date 2014/05/26 · arxiv created 2015/12/30 · arxiv updated 2015/12/31 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28

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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