Factorization and small-energy asymptotics for the radial Schrödinger equation

DOI10.1063/1.533340zbMath0973.81129OpenAlexW1987127590MaRDI QIDQ2738037

Tuncay Aktosun

Publication date: 30 August 2001

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

Full work available at URL: http://purl.umn.edu/3375

zbMATH Keywords

scattering matrixJost functionnumber of bound statesfragments of the potentialsmall-energy asymptotics

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (4)

Schrödinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds ⋮ Factorization of the transition matrix for the general Jacobi system ⋮ Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II ⋮ Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line

Cites Work

• Low-energy scattering for medium-range potentials
• Exact behavior of Jost functions at low energy
• Low-energy behaviour of the scattering matrix for the Schrodinger equation on the line
• On the number of bound states for the one-dimensional Schrödinger equation
• Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations

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