Transition matrix of point interactions as the scaling limit of integrable potentials on the real line
DOI10.1063/1.526880zbMath0574.46060OpenAlexW2062166820MaRDI QIDQ3694092
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526880
transition matrixnon-relativistic one-particle Hamilton operator for a finite number of zero-range interaction pointsnorm-resolent convergencescaling limit of the Schrödinger operator for integrable potentials
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Miscellaneous applications of functional analysis (46N99)
Related Items (1)
Cites Work
- Two-body scattering for Schrödinger operators involving zero-range interactions
- The spectrum of defect periodic point interactions
- The short range expansion
- The spectrum of the three-dimensional Kronig-Penney model with random point defects
- Scattering on \(\delta\)-function potentials
- Scattering and local absorption for the Schrödinger operator
- Inverse scattering by a local impurity in a periodic potential in one dimension
- Transfer matrices for one-dimensional potentials
- The Inverse Problem in the Quantum Theory of Scattering
- Birman–Schwinger bounds for the Laplacian with point interactions
- Inverse scattering. I. One dimension
- Perturbation of self-adjoint operators by Dirac distributions
- Energy forms, Hamiltonians, and distorted Brownian paths
- Time-dependent scattering theory for infinite delta function potentials in one dimension
- Inverse scattering on the line
- Solution of Faddeev Equations for a One-Dimensional System
This page was built for publication: Transition matrix of point interactions as the scaling limit of integrable potentials on the real line
