Sharp Semiclassical Bounds for the Moments of Eigenvalues for Some Schrödinger Type Operators with Unbounded Potentials

DOI10.1051/MMNP/20138119zbMath1260.35091OpenAlexW2027628357MaRDI QIDQ4911331

Vitali Vougalter

Publication date: 14 March 2013

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/20138119

zbMATH Keywords

magnetic fieldsLieb-Thirring inequalitiesunbounded potentialssemiclassical bounds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Eigenvalue bounds for the poly-harmonic operators ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ Solvability in the sense of sequences for some non Fredholm operators related to the superdiffusion ⋮ Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system

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