Stock, R.
, Silberfarb, A.
, Deutsch, I.
and Bolda, E.
(2021),
Generalized Pseudo-Potentials for Higher Partial Wave Scattering, Physical Review Letters
(Accessed December 11, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Generalized Pseudo-Potentials for Higher Partial Wave Scattering
Published
Author(s)
R Stock, A Silberfarb, I H. Deutsch,
Abstract
We derive a generalized zero-range pseudo-potential applicable to all partial wave solutions to the Schrodinger equation based on a delta-shell potential in the limit that the shell radius approaches zero. This properly models all higher order multipole moments not accounted for with a monopolar delta-function at the origin, as used in the familiar Fermi pseudo-potential for s-wave scattering. By further making the strength of the potential energy-dependent, we derive self-consistent solutions for the entire energy spectrum of the realistic potential. We apply this to study two particles in an isotropic harmonic trap interacting through a central potential and derive analytic expressions for the energy eigenstates and eigenvalues.Citation
Physical Review Letters
Pub Type
Journals
Keywords
Fermi Pseudopotential, harmonic atom trap, partial wave, spectrum
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created October 12, 2021