Essential self-adjointness of the Schrödinger operators with magnetic fields diverging at infinity

DOI10.2977/prims/1195170737zbMath0727.35036OpenAlexW2083985920MaRDI QIDQ803392

Akira Iwatsuka

Publication date: 1990

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195170737

zbMATH Keywords

magnetic fieldessentially selfadjoint

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items

DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS, Existence and regularity of propagators for multi-particle Schrödinger equations in external fields, Schrödinger equations with time-dependent strong magnetic fields, A magnetic version of the Smilansky–Solomyak model, Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials. II: Superquadratic potentials, Unitary propagators for N-body Schrödinger equations in external field, Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds, SCHRÖDINGER EQUATIONS WITH TIME-DEPENDENT UNBOUNDED SINGULAR POTENTIALS, On the essential spectrum of two-dimensional Pauli operators with repulsive potentials

Cites Work

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• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• The essential self-adjointness of Schrödinger-type operators
• Schrödinger operators with singular magnetic vector potentials