Perturbation of Schrödinger Hamiltonians by measures—Self-adjointness and lower semiboundedness
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Publication:3717489
DOI10.1063/1.526598zbMath0589.35031OpenAlexW2078472424MaRDI QIDQ3717489
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526598
Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (14)
Large Coupling Convergence: Overview and New Results ⋮ Convergence of Dirichlet forms and associated Schrödinger operators ⋮ Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev’s function ⋮ One-dimensional Schrödinger operator with unbounded potential and point interactions ⋮ Spectral asymptotics for the Sturm-Liouville operator with point interaction ⋮ Asymptotics of the spectrum of the Sturm-Liouville operator with local interaction ⋮ One-dimensional Schrödinger operator with \(\delta\)-interactions ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ 1-D Schrödinger operators with local interactions on a discrete set with unbounded potential ⋮ Large coupling convergence with negative perturbations ⋮ 1-D Schrödinger operators with local point interactions on a discrete set ⋮ Time-dependent scattering on fractal measures ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
Cites Work
- A canonical decomposition for quadratic forms with applications to monotone convergence theorems
- On the spectrum of Schrödinger operators with a random potential
- Perturbation of self-adjoint operators by Dirac distributions
- Energy forms, Hamiltonians, and distorted Brownian paths
- Perturbations of the Schrödinger equation by potentials with small support
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