The effect of submanifolds upon essential self-adjointness and deficiency indices

DOI10.1016/0022-247X(81)90124-4zbMath0473.47039MaRDI QIDQ1158628

E. C. Svendsen

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

essentially selfadjointdeficiency indices

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (18)

Singular properties of Wick monomials ⋮ Interior-boundary conditions for the Dirac equation at point sources in three dimensions ⋮ Deficiency indices and singular boundary conditions in quantum mechanics ⋮ Dirac operators with a spherically symmetric δ-shell interaction ⋮ Particle creation at a point source by means of interior-boundary conditions ⋮ Perturbations of elliptic operators on high codimension subsets and the extension theory on indefinite metric space ⋮ Multi-time formulation of particle creation and annihilation via interior-boundary conditions ⋮ Confinement limit of a Dirac particle in two and three dimensions ⋮ Quadratic forms for singular perturbations of the Laplacian ⋮ Multi-time Schrödinger equations cannot contain interaction potentials ⋮ Klein's paradox and the relativistic point interaction ⋮ Self-adjointness and spectral properties of Dirac operators with magnetic links ⋮ Unnamed Item ⋮ Selfadjointness of elliptic differential operators in $L_2(G)$, and correction potentials ⋮ Lieb-Thirring inequalities for wave functions vanishing on the diagonal set ⋮ A relativistically interacting exactly solvable multi-time model for two massless Dirac particles in 1 + 1 dimensions ⋮ On the weakness of short-range interactions in Fermi gases ⋮ Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators

Cites Work

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• The dynamical instability of nonrelativistic many-body systems
• Polar sets and removable singularities of partial differential equations
• Removable singularities of solutions of linear partial differential equations
• Spectral theory of operators in Hilbert space
• Energy forms, Hamiltonians, and distorted Brownian paths
• Time-dependent scattering theory for infinite delta function potentials in one dimension
• Equivalent Norms for Sobolev Spaces
• Perturbations of the Schrödinger equation by potentials with small support

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