DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS
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Publication:4547607
DOI10.1081/PDE-120002864zbMath1090.35066arXivmath/0007111MaRDI QIDQ4547607
Vladimir Kondratiev, Mikhail A. Shubin
Publication date: 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0007111
General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
Related Items (14)
Obituary: Mikhail Shubin (1944--2020) ⋮ Discreteness of Spectrum and Strict Positivity Criteria for Magnetic Schrödinger Operators ⋮ Temporally stable coherent states for a free magnetic Schrödinger operator ⋮ Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces ⋮ Vladimir Alexandrovich Kondratiev. July 2, 1935--March 11, 2010 ⋮ Radiation conditions for the magnetic Helmholtz equation ⋮ Vladimir Aleksandrovich Kondrat'ev ⋮ On a new embedding theorem and the CLR-type inequality for Euclidean and hyperbolic spaces ⋮ On a class of magnetic Schrödinger operators with discrete spectrum ⋮ On the behavior at infinity of solutions of elliptic systems with a finite energy integral ⋮ Precanonical quantization of Yang-Mills fields and the functional Schrödinger representation ⋮ Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations ⋮ Gauge Optimization and Spectral Properties of Magnetic Schrödinger Operators ⋮ Mikhail Aleksandrovich Shubin
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