On semi-classical bounds for eigenvalues of Schrödinger operators

Michael Aizenman, Elliott H. Lieb

Research output: Contribution to journalArticle

68 Scopus citations

Abstract

Our principal results is that if the semiclassical estimate is a bound for some moment of the negative eigenvalues (as is known in some cases in one-dimension), then the semiclassical estimates are also bounds for all higher moments.

Original languageEnglish (US)
Pages (from-to)427-429
Number of pages3
JournalPhysics Letters A
Volume66
Issue number6
DOIs
StatePublished - Jun 26 1978

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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