Subelliptic estimates on nilpotent Lie groups and the Cwikel-Lieb-Rosenblum inequality are used to estimate the number of eigenvalues for Schrödinger operators with polynomial potentials.
@article{bwmeta1.element.bwnjournal-article-smv105i1p101bwm,
author = {Wies\l aw Cupa\l a},
title = {On the eigenvalue asymptotics of certain Schr\"odinger operators},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {101-104},
zbl = {0811.35024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv105i1p101bwm}
}
Cupała, Wiesław. On the eigenvalue asymptotics of certain Schrödinger operators. Studia Mathematica, Tome 104 (1993) pp. 101-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv105i1p101bwm/
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