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Generalized Pseudopotentials for Higher Partial Wave Scattering | | Rene Stock
; Andrew Silberfarb
; Eric L. Bolda
; Ivan H. Deutsch
; | | Date: |
25 May 2004 | | Journal: | Phys. Rev. Lett. 94, 023202 (2005) | | Subject: | Quantum Physics; Atomic Physics; Soft Condensed Matter | quant-ph cond-mat.soft physics.atom-ph | | Abstract: | We derive a generalized zero-range pseudopotential applicable to all partial wave solutions to the Schroedinger 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 pseudopotential for s-wave scattering. By 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. | | Source: | arXiv, quant-ph/0405153 | | Other source: | [GID 908054] pmid15698174 | | Services: | Forum | Review | PDF | Favorites | |
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