TOWARDS THE RIGHT HAMILTONIAN FOR SINGULAR PERTURBATIONS VIA REGULARIZATION AND EXTENSION THEORY

DOI10.1142/S0129055X96000251zbMath0858.47006OpenAlexW1964810275MaRDI QIDQ4714594

Hagen Neidhardt, Valentin A. Zagrebnov

Publication date: 25 March 1997

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

Full work available at URL: https://doi.org/10.1142/s0129055x96000251

zbMATH Keywords

regularizationwell-posed problemill-posed problemsingular potentialsstability domainselfadjoint extensionright Hamiltonian

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dilations, extensions, compressions of linear operators (47A20)

Related Items (4)

ON THE PROBLEM OF THE RIGHT HAMILTONIAN UNDER SINGULAR FORM-SUM PERTURBATIONS ⋮ Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales ⋮ On form-sum approximations of singularly perturbed positive self-adjoint operators ⋮ Does Each Symmetric Operator Have a Stability Domain?

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