Positive perturbations of self-adjoint Schrödinger operators

DOI10.1017/S0308210500014268zbMath0571.35021MaRDI QIDQ3688757

Thomas Kappeler

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatoressentially selfadjointbounded from belowrelatively bounded

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

POSITIVE PERTURBATIONS OF SELF-ADJOINT SCHRÖDINGER OPERATORS ON RIEMANNIAN MANIFOLDS

Cites Work

• On non-degeneracy of the ground state of Schrödinger operators
• Essential self-adjointness of Schrödinger operators bounded from below
• Generalisations of Rellich's theorem on perturbation of (essentially) selfadjoint operators
• Nonselfadjoint Schrödinger operators with singular first-order coefficients
• On the stability of self-adjointness of Schrödinger operators under positive perturbations

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