Exact behavior of Jost functions at low energy

DOI10.1063/1.528167zbMath0665.35070OpenAlexW1968348289MaRDI QIDQ3816459

Martin Klaus

Publication date: 1988

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

Full work available at URL: http://hdl.handle.net/10919/47041

zbMATH Keywords

differentiability propertiesSchrödinger operatorscentral potentialJost functionangularLevinson's theoremlow-energy behavior

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (11)

Asymptotic behavior of Jost functions near resonance points for Wigner–von Neumann type potentials ⋮ On the Levinson theorem for Dirac operators ⋮ High- and low-energy estimates for the Dirac equation ⋮ SL(3, C) structure of one-dimensional Schrödinger equation ⋮ Inverse wave scattering with discontinuous wave speed ⋮ Factorization and small-energy asymptotics for the radial Schrödinger equation ⋮ Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II ⋮ On the Titchmarsh-Weyl M(λ)-coefficient and spectral density for a Dirac system ⋮ Coupling constant thresholds of perturbed periodic Hamiltonians ⋮ Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line ⋮ Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation

Cites Work

• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• On the absorption of eigenvalues by continuous spectrum in regular perturbation problems
• Analytic Properties of Radial Wave Functions
• Proof of the Levinson theorem by the Sturm–Liouville theorem
• Low-energy scattering for medium-range potentials
• Zeros of Hankel Functions and Poles of Scattering Amplitudes

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