On the Essential Spectrum of Two-Dimensional Pauli Operators with Repulsive Potentials

Mehringer, Josef (2016): On the Essential Spectrum of Two-Dimensional Pauli Operators with Repulsive Potentials. In: Annales Henri Poincare, Bd. 17, Nr. 3: S. 733-755

Abstract

We investigate the spectrum of the two-dimensional Pauli operator, describing a spin- 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1424-0637
• Sprache: Englisch