On the essential spectrum of magnetic Schroedinger operators in exterior domains
A. Kachmar, M. Persson
TL;DR
This paper proves that the essential spectrum of magnetic Schrödinger operators in exterior domains matches that in the entire space, providing insights into spectral properties relevant for quantum physics and mathematical analysis.
Contribution
It establishes the equality of the essential spectrum for magnetic Schrödinger operators in exterior domains and the whole space, extending spectral theory results.
Findings
Essential spectrum equality between exterior domain and whole space operators
Application of spectral equality to quantum physics problems
Extension of spectral theory in magnetic Schrödinger operators
Abstract
We establish equality between the essential spectrum of the Schroedinger operator with magnetic field in the exterior of a compact arbitrary dimensional domain and that of the operator defined in all the space, and discuss applications of this equality.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems