Lower bounds on the eigenvalue sums of the Schrödinger operator and the spectral conservation law
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Publication:467538
DOI10.1007/s10958-010-9868-2zbMath1302.35277arXiv1002.0080OpenAlexW2023424939MaRDI QIDQ467538
Publication date: 3 November 2014
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.0080
Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)
Related Items (8)
A relation between the positive and negative spectra of elliptic operators ⋮ Absolutely continuous spectrum of a typical operator on a cylinder ⋮ The rate of accumulation of negative eigenvalues to zero and the absolutely continuous spectrum ⋮ Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential ⋮ Absolutely continuous spectrum of the Schrödinger operator with a potential representable as a sum of three functions with special properties ⋮ Absolutely continuous spectrum of a Dirac operator in the case of a positive mass ⋮ Relations between two parts of the spectrum of a Schrödinger operator and other remarks on the absolute continuity of the spectrum in a typical case ⋮ Absolutely continuous spectrum of a one-parameter family of Schrödinger operators
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