Discreteness of Spectrum and Strict Positivity Criteria for Magnetic Schrödinger Operators

DOI10.1081/PDE-120030406zbMath1140.35300arXivmath/0206140MaRDI QIDQ3157901

Vladimir Kondratiev, Vladimir Gilelevich Maz'ya, Mikhail A. Shubin

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206140

zbMATH Keywords

capacitydiscrete spectrumstrict positivitymagnetic Schrödinger operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (12)

Obituary: Mikhail Shubin (1944--2020) ⋮ Discreteness of the spectrum of the Laplacian and stochastic incompleteness ⋮ On the discreteness of the spectrum of the magnetic Schrödinger operator ⋮ Vladimir Alexandrovich Kondratiev. July 2, 1935--March 11, 2010 ⋮ Positivity criteria for a hyperbolic Schrödinger operator ⋮ On a new embedding theorem and the CLR-type inequality for Euclidean and hyperbolic spaces ⋮ On the infimum of the spectrum of a relativistic Schrödinger operator ⋮ The Schrödinger operator on the energy space: Boundedness and compactness criteria ⋮ Convexity of trace functionals and Schrödinger operators ⋮ Gauge Optimization and Spectral Properties of Magnetic Schrödinger Operators ⋮ Mikhail Aleksandrovich Shubin ⋮ On the essential spectrum of two-dimensional Pauli operators with repulsive potentials

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