Inequalities for the moments of the eigenvalues of the schrödinger hamiltonian and their relation to sobolev inequalities

Elliott H. Lieb; Walter E. Thirring

doi:10.1007/3-540-27056-6_16

Inequalities for the moments of the eigenvalues of the schrödinger hamiltonian and their relation to sobolev inequalities

Elliott H. Lieb
, Walter E. Thirring

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

15 Scopus citations

Abstract

Estimates for the number of bound states and their energies, e_j ≤ 0, are of obvious importance for the investigation of quantum mechanical Hamiltonians.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	205-239
Number of pages	35
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_16
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_16

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title = "Inequalities for the moments of the eigenvalues of the schr{\"o}dinger hamiltonian and their relation to sobolev inequalities",

abstract = "Estimates for the number of bound states and their energies, ej ≤ 0, are of obvious importance for the investigation of quantum mechanical Hamiltonians.",

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AU - Lieb, Elliott H.

AU - Thirring, Walter E.

PY - 2005

Y1 - 2005

N2 - Estimates for the number of bound states and their energies, ej ≤ 0, are of obvious importance for the investigation of quantum mechanical Hamiltonians.

AB - Estimates for the number of bound states and their energies, ej ≤ 0, are of obvious importance for the investigation of quantum mechanical Hamiltonians.

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M3 - Chapter

AN - SCOPUS:84892355689

SN - 3540420835

SN - 9783540222125

SP - 205

EP - 239

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Inequalities for the moments of the eigenvalues of the schrödinger hamiltonian and their relation to sobolev inequalities

Abstract

All Science Journal Classification (ASJC) codes

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