On the eigenvalue asymptotics of certain Schrödinger operators

Wiesław Cupała

Studia Mathematica (1993)

  • Volume: 105, Issue: 1, page 101-104
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Cupała, Wiesław. "On the eigenvalue asymptotics of certain Schrödinger operators." Studia Mathematica 105.1 (1993): 101-104. <http://eudml.org/doc/215978>.

@article{Cupała1993,
abstract = {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.},
author = {Cupała, Wiesław},
journal = {Studia Mathematica},
keywords = {subelliptic estimates on nilpotent Lie groups; Cwikel-Lieb-Rosenblum inequality; Schrödinger operators with polynomial potentials},
language = {eng},
number = {1},
pages = {101-104},
title = {On the eigenvalue asymptotics of certain Schrödinger operators},
url = {http://eudml.org/doc/215978},
volume = {105},
year = {1993},
}

TY - JOUR
AU - Cupała, Wiesław
TI - On the eigenvalue asymptotics of certain Schrödinger operators
JO - Studia Mathematica
PY - 1993
VL - 105
IS - 1
SP - 101
EP - 104
AB - 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.
LA - eng
KW - subelliptic estimates on nilpotent Lie groups; Cwikel-Lieb-Rosenblum inequality; Schrödinger operators with polynomial potentials
UR - http://eudml.org/doc/215978
ER -

References

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  1. [1] W. Cupała, On the essential spectrum and eigenvalue asymptotics of certain Schrödinger operators, Studia Math. 96 (1990), 195-202. Zbl0716.35058
  2. [2] Ch. L. Fefferman, The uncertainty principle, Bull. Amer. Math. Soc. 9 (1983), 129-206. 
  3. [3] G. B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat. 13 (1975), 161-207. Zbl0312.35026
  4. [4] K. Löwner, Über monotone Matrixfunktionen, Math. Z. 38 (1934), 177-216. Zbl0008.11301
  5. [5] B. Simon, Functional Integration and Quantum Physics, Academic Press, 1979. Zbl0434.28013

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