Titchmarsh–Weyl theory and its relations to scattering theory: Spectral densities and cross sections; Theory and applications

DOI10.1063/1.526733zbMath0584.34019OpenAlexW2042010310MaRDI QIDQ3709125

Nils Elander, Magnus Rittby, E. J. Brändas

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526733

zbMATH Keywords

second order differential equationsTitchmarsh-Weyl theoryradial potential Schrödinger operators

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items

Bounds for the points of spectral concentration of Sturm–Liouville problems, Spectral concentration and rapidly decaying potentials, Generalized Green’s functions and spectral densities in the complex energy plane, Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials, A note on the discrete spectrum of Gaussian wells. I: The ground state energy in one dimension, On the location of spectral concentration for Sturm–Liouville problems with rapidly decaying potential

Cites Work

• Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
• A class of analytic perturbations for one-body Schrödinger Hamiltonians
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
• The multichannel log-derivative method for scattering calculations
• The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices
• On the Scattering of a Particle by a Static Potential
• Bemerkungen zu der vorstehenden arbeit