Eigenfunction expansions for Schrödinger and Dirac operators with singular potentials

DOI10.1007/BF01608974zbMath0326.35064MaRDI QIDQ1225769

Gheorghe Nenciu

Publication date: 1975

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

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) Ordinary differential operators (34L99)

Related Items (6)

Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Relativistic correlations for the scattering matrix for spherically symmetric potentials ⋮ Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies ⋮ The scattering of classical waves from inhomogeneous media ⋮ Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms ⋮ Unnamed Item

Cites Work

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• Eigenfunction expansions associated with Schrödinger operators in \(R_ n, n\geq 4\)
• Singular integrals
• The abstract theory of scattering
• Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials
• Relativistic Potential Scattering
• EIGENFUNCTION EXPANSIONS AND THE ASSOCIATED SCATTERING THEORY FOR POTENTIAL PERTURBATIONS OF THE DIRAC EQUATION

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