On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Spectral Theory
Quantum Physics
Abstract
We prove Cwikel-Lieb-Rosenbljum and Lieb-Thirring type bounds on the discrete spectrum of a two-body pair operator and calculate spectral asymptotics for the eigenvalue moments and the local spectral density in the pseudo-relativistic limit.
Keywords
Cite
@article{arxiv.math-ph/0111044,
title = {On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator},
author = {Semjon Vugalter and Timo Weidl},
journal= {arXiv preprint arXiv:math-ph/0111044},
year = {2007}
}