New results on the moments of the eigenvalues of the Schrödinger Hamiltonian and applications

DOI10.1007/BF02096784zbMath0715.47034OpenAlexW2078798983MaRDI QIDQ752449

André Martin

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096784

zbMATH Keywords

momentsLieb-Thirring bound on the binding energy of matterSchrödinger Hamiltonian in n dimensions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (3)

Morse index versus concentration for elliptic problems with sobolev exponent ⋮ The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities ⋮ Density functional theory for two-dimensional homogeneous materials

Cites Work

• New estimates on the number of bound states of Schrödinger operators
• Bounds on the number of eigenvalues of the Schrödinger operator
• The Thomas-Fermi theory of atoms, molecules and solids
• The asymptotic eigenvalue distribution for non-smooth elliptic operators
• Bounds on the eigenvalues of the Laplace and Schroedinger operators

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