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, Vol. 17, No. 3: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English