On essential self-adjointness for Schrödinger operators with wildly oscillating potentials

DOI10.1016/0022-247X(78)90254-8zbMath0403.47018MaRDI QIDQ1256191

K. Appert

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger OperatorsEssential Self-AdjointnessWidly Oscillating Potentials

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Gauss's theorem and the self-adjointness of Schrödinger operators ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ On essential self-adjointness for singular elliptic differential operators ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• On the spectrum of the Schrödinger operator with a rapidly oscillating potential
• The essential self-adjointness of Schrödinger-type operators
• A limit-point criterion for expressions with oscillatory coefficients
• Essential self-adjointness of Schrödinger operators with singular potentials
• Essential self-adjointness of Schrödinger operators with positive potentials
• Schrödinger operators with singular potentials
• Self-Adjointness and Spectra of Sturm-Liouville Operators.
• On the number ofL²-solutions of second order linear differential equations
• On the Uniqueness of the Green's Function Associated with a Second-order Differential Equation
• Note on the Uniqueness of the Green'S Functions Associated With Certain Differential Equations
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