Absence of eigenvalues of two-dimensional magnetic Schroedinger operators
Spectral Theory
2018-11-26 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schroedinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov-Bohm field are also covered.
Keywords
Cite
@article{arxiv.1710.06176,
title = {Absence of eigenvalues of two-dimensional magnetic Schroedinger operators},
author = {Luca Fanelli and David Krejcirik and Luis Vega},
journal= {arXiv preprint arXiv:1710.06176},
year = {2018}
}
Comments
11 pages