Gauge Optimization and Spectral Properties of Magnetic Schrödinger Operators

DOI10.1080/03605300903234646zbMath1185.35044arXivmath/0601057OpenAlexW2167183556MaRDI QIDQ3653268

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

Publication date: 22 December 2009

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

Full work available at URL: https://arxiv.org/abs/math/0601057

zbMATH Keywords

magnetic Schrödinger operatorWiener capacitybottom of the spectrumdiscrete spectrum, strictly positive operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

On the discreteness of the spectrum of the magnetic Schrödinger operator ⋮ Schrödinger operators on Lie groups with purely discrete spectrum ⋮ Mikhail Aleksandrovich Shubin ⋮ Discreteness of the spectrum of Schrödinger operators with non-negative matrix-valued potentials

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