Schrödinger operators with point interactions and short range expansions

DOI10.1016/0378-4371(84)90223-1zbMath0598.47005OpenAlexW2033836977MaRDI QIDQ1079789

Raphael J. Høegh-Krohn, Sergio A. Albeverio

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90223-1

zbMATH Keywords

resolventspectrumpolymersresonancesquantum fieldsmultiparticle systemsapproximation of point interactions by short range local potentialscrystals with random impuritieslow energy expansionsmultiple well problemscattering quantitiesSchrödinger operators with Coulomb plus point interactions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40)

Related Items

The Laplacian in regions with many small obstacles: Fluctuations around the limit operator ⋮ Free quantum motion on a branching graph ⋮ Solvable model of a quantum particle in a detector

Cites Work

• Two-body scattering for Schrödinger operators involving zero-range interactions
• The spectrum of defect periodic point interactions
• Low-energy parameters in nonrelativistic scattering theory
• Capacity and quantum mechanical tunneling
• On the spectrum of Schrödinger operators with a random potential
• Singular Perturbations and Nonstandard Analysis
• Perturbation of self-adjoint operators by Dirac distributions
• Partial inner product spaces. III. Compatibility relations revisited
• On the structure of Coulomb-type scattering amplitudes
• Energy forms, Hamiltonians, and distorted Brownian paths
• Internal set theory: A new approach to nonstandard analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item