The gaps in the spectrum of the Schrödinger operator

Haizhong Li, and Linlin Su. "The gaps in the spectrum of the Schrödinger operator." Banach Center Publications 69.1 (2005): 91-102. <http://eudml.org/doc/282256>.

@article{HaizhongLi2005,
abstract = {We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in $R^\{N\}$ with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau’s result.},
author = {Haizhong Li, Linlin Su},
journal = {Banach Center Publications},
keywords = {Schrödinger operator; bounded domain of submanifold; inequalities for eigenvalues; Laplace operator},
language = {eng},
number = {1},
pages = {91-102},
title = {The gaps in the spectrum of the Schrödinger operator},
url = {http://eudml.org/doc/282256},
volume = {69},
year = {2005},
}

TY - JOUR
AU - Haizhong Li
AU - Linlin Su
TI - The gaps in the spectrum of the Schrödinger operator
JO - Banach Center Publications
PY - 2005
VL - 69
IS - 1
SP - 91
EP - 102
AB - We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in $R^{N}$ with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau’s result.
LA - eng
KW - Schrödinger operator; bounded domain of submanifold; inequalities for eigenvalues; Laplace operator
UR - http://eudml.org/doc/282256
ER -