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Singularities of the magnetic spectral shift function for potentials of variable sign

Year: 2025

Type: article

Abstract: We consider the 3D-Schrödinger operator H_{0} with constant magnetic field B of scalar intensity b>0 , and its perturbations H= H_{0}+V by a potential V of not necessarily fixed sign. Then we study the singularities at the Landau levels of the Kreĭn spectral shift functions \xi(\cdot;H,H_{0}) for the pair (H,H_{0}) . We consider power-like decaying potentials and cylindrically supported potentials (with axis B ).

Source: Journal of Spectral Theory

DOI: 10.4171/jst/579

Authors: Vincent Bruneau, Galina Levitina, Pablo Miranda

Institutions: Université de Bordeaux, Australian National University, Universidad de Santiago de Chile

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415024241

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