Regularization and convergence for singular perturbations

DOI10.1007/BF02096943zbMath0786.47014MaRDI QIDQ1201413

Hagen Neidhardt, Valentin A. Zagrebnov

Publication date: 17 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

selfadjoint operatorsingular potentialsdetermination of selfadjoint extensions of Schrödinger's operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items (6)

ON THE PROBLEM OF THE RIGHT HAMILTONIAN UNDER SINGULAR FORM-SUM PERTURBATIONS ⋮ Condensation in a disordered infinite-range hopping Bose-Hubbard model ⋮ On Lennard-Jones-type potentials on the half-line ⋮ On the Right Hamiltonian for Singular Perturbations: General Theory ⋮ Does Each Symmetric Operator Have a Stability Domain? ⋮ Mathematical predominance of Dirichlet condition for the one-dimensional Coulomb potential

Cites Work

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• Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations
• Removing cut-offs from singular perturbations: An abstract result
• Cut-off potentials and forms extensions
• Singular perturbation potentials
• Essential self-adjointness of operators in ordered Hilbert space
• On the one-dimensional Coulomb Hamiltonian
• Removing cut-offs from one-dimensional Schrodinger operators

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