Hamiltonians with purely discrete spectrum
Functional Analysis
2014-07-14 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We discuss criteria for a self-adjoint operator on L^2(X) to have empty essential spectrum. We state a general result for the case of a locally compact abelian group X and give examples for X=R^n.
Keywords
Cite
@article{arxiv.0810.5563,
title = {Hamiltonians with purely discrete spectrum},
author = {Vladimir Georgescu},
journal= {arXiv preprint arXiv:0810.5563},
year = {2014}
}