On the localization of binding for Schrödinger operators and its extensions to elliptic operators

DOI10.1007/BF02788818zbMath0859.35082OpenAlexW2330548359MaRDI QIDQ1909251

Yehuda Pinchover

Publication date: 9 April 1997

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788818

zbMATH Keywords

perturbations of the LaplacianEfimov effectequivariant operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Perturbations in context of PDEs (35B20)

Related Items (8)

Ground state alternative for \(p\)-Laplacian with potential term ⋮ Spectrum of periodic elliptic operators with distant perturbations in space ⋮ Semismall perturbations in the Martin theory for elliptic equations ⋮ Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ On Schrödinger operators with multipolar inverse-square potentials ⋮ On fractional multi-singular Schrödinger operators: positivity and localization of binding ⋮ Weak extinction versus global exponential growth of total mass for superdiffusions ⋮ On positivity, criticality, and the spectral radius of the shuttle operator for elliptic operators

Cites Work

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• On criticality and ground states of second order elliptic equations. II
• Criticality and ground states for second-order elliptic equations
• Brownian motion, \(L^p\) properties of Schrödinger operators and the localization of binding
• The Efimov effect of three-body Schrödinger operators
• On the equivalence of Green functions of second order elliptic equations in \(\mathbb{R}^ n\)
• On variational principles for the generalized principal eigenvalue of second order elliptic operators and some applications
• Zhislin's theorem revisited
• Manifolds with group actions and elliptic operators
• The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues

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