Asymptotics of spectrum under infinitesimally form-bounded perturbation

DOI10.1007/BF01206413zbMath0814.47017MaRDI QIDQ1330851

Edward Grinshpun

Publication date: 14 August 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operator with polynomially growing potentialselfadjoint operator with discrete spectrumthird boundary value problem for the second order elliptic operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Scattering theory of linear operators (47A40)

Related Items (4)

On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint ⋮ Relative form boundedness and compactness for a second-order differential operator ⋮ Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator ⋮ Macroscopic current induced boundary conditions for Schrödinger-type operators.

Cites Work

• Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials
• Schrödinger operators with singular potentials
• Schrödinger semigroups
• ASYMPTOTICS OF THE EIGENVALUES OF THE SCHRÖDINGER OPERATOR
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