On a class of spectral problems on the half-line and their applications to multi-dimensional problems

DOI10.4171/JST/43zbMath1270.34197arXiv1203.1156MaRDI QIDQ1948491

Michael Solomyak

Publication date: 6 May 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1156

zbMATH Keywords

semi-classical behaviourestimates of the number of bound statesSturm-Liouville operator on \(\mathbb{R}_{+}\)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

On spectral estimates for the Schrödinger operators in global dimension 2 ⋮ Eigenvalues of Schrödinger operators on finite and infinite intervals ⋮ On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials ⋮ On the mathematical work of Mikhail Zakharovich Solomyak

Cites Work

• Schrödinger operator. Estimates for number of bound states as function-theoretical problem
• On the Eigenvalue Behaviour for a Class of Differential Operators on Semiaxis
• [https://portal.mardi4nfdi.de/wiki/Publication:4893803 The negative discrete spectrum of a two-dimensional Schr�dinger operator]
• The spectrum of singular boundary problems
• On the Number of Bound States in a Central Field of Force
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