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.
%0 Journal Article
%1 MR1985775
%A Vugalter, Semjon
%A Weidl, Timo
%D 2003
%J Ann. Henri Poincaré
%K Weidl discrete from:elkepeter iadm pseudo-relativistic spectrum
%N 2
%P 301--341
%R 10.1007/s00023-003-0131-y
%T On the discrete spectrum of a pseudo-relativistic two-body pair operator
%U https://doi.org/10.1007/s00023-003-0131-y
%V 4
%X 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.
@article{MR1985775,
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.},
added-at = {2022-03-30T16:31:49.000+0200},
author = {Vugalter, Semjon and Weidl, Timo},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/25e1daefd6f0a67ae76c5f3037d53ae06/mathematik},
doi = {10.1007/s00023-003-0131-y},
interhash = {42dae6dc63a4acb9ce8cb85902c1a089},
intrahash = {5e1daefd6f0a67ae76c5f3037d53ae06},
issn = {1424-0637},
journal = {Ann. Henri Poincar\'{e}},
keywords = {Weidl discrete from:elkepeter iadm pseudo-relativistic spectrum},
mrclass = {35P20 (35Q40 47F05 47N50 81Q10)},
mrnumber = {1985775},
mrreviewer = {Lech Zielinski},
number = 2,
pages = {301--341},
timestamp = {2023-04-21T12:53:45.000+0200},
title = {On the discrete spectrum of a pseudo-relativistic two-body pair operator},
url = {https://doi.org/10.1007/s00023-003-0131-y},
volume = 4,
year = 2003
}