Compactness properties for trace-class operators and applications to quantum mechanics

DOI10.1007/s00605-008-0533-5zbMath1151.81014OpenAlexW2167404359MaRDI QIDQ956667

Jean Dolbeault, Patricio L. Felmer, Juan Mayorga-Zambrano

Publication date: 25 November 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/142249

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Quantum equilibrium statistical mechanics (general) (82B10) Inequalities for sums, series and integrals (26D15) Kernel operators (47B34)

Related Items (max. 100)

Sobolev-like cones of trace-class operators on unbounded domains: interpolation inequalities and compactness properties ⋮ Thermal effects in gravitational Hartree systems ⋮ Localized minimizers of flat rotating gravitational systems ⋮ A functional Hodrick-Prescott filter ⋮ The quantum Liouville-BGK equation and the moment problem ⋮ An inverse problem in quantum statistical physics ⋮ On Riesz Means of Eigenvalues ⋮ Compact embeddings of \(p\)-Sobolev-like cones of nuclear operators

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