Low-Energy Expansion of Scattering Phase Shifts for Long-Range Potentials

DOI10.1063/1.1703889zbMath0112.45201OpenAlexW1971987331WikidataQ123201050 ScholiaQ123201050MaRDI QIDQ3849766

Joseph B. Keller, Bertram R. Levy

Publication date: 1963

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

Full work available at URL: https://doi.org/10.1063/1.1703889

zbMATH Keywords

quantum theory

Related Items

Solving eigenproblem by duality transform ⋮ Upper and lower limits for the number of bound states in a given central potential ⋮ Asymptotic nature of the perturbative expansion for the scattering parameters due to a potential which behaves in the origin asgr −2In(R/r) ⋮ Bounding the remainder in variational calculations of potential scattering ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\) ⋮ Mathieu function solutions to the radial Schrödinger equation for the −f2/r4 interaction ⋮ Phase shifts in the collision of massive particles ⋮ Complete continuity of kernel in generalized potential scattering. I: Short range interaction without strong singularity. II: Generalized Fourier series expansion ⋮ Invariant imbedding and the asymptotic behavior of solutions to initial value problems ⋮ Asymptotic phase amplitude for a modified Coulomb potential in scattering theory. An application of invariant imbedding ⋮ Invariant imbedding and asymptotic behavior ⋮ Some non-born phase shifts ⋮ Integrals of the Second-Order Linear Differential Equation ⋮ Variation of Green's Functions ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

Cites Work

• Modification of Effective-Range Theory in the Presence of a Long-Range (r−4) Potential

This page was built for publication: Low-Energy Expansion of Scattering Phase Shifts for Long-Range Potentials