Numerical construction of “optimal” nonoscillating amplitude and phase functions | Zendy

A. Matzkin | Zendy; M. Lombardi | Zendy

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Numerical construction of “optimal” nonoscillating amplitude and phase functions

Author(s) -

A. Matzkin,

M. Lombardi

Publication year - 2002

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.66.037702

Subject(s) - semiclassical physics , scattering amplitude , amplitude , phase (matter) , phase space , bound state , scattering , function (biology) , action (physics) , recipe , physics , quantum , quantum mechanics , basis (linear algebra) , mathematics , geometry , chemistry , food science , evolutionary biology , biology

International audienceA numerical recipe for the construction of nonoscillating amplitude and phase functions for potentials with a single minimum is given. We give different examples illustrating the recipe, showing the usefulness of the procedure for the construction of basis functions in bound-state scattering processes, such as those described by quantum defect theory. The resulting amplitude and accumulated phase functions are coined as ''optimal'' nonoscillating (as a function of the space and energy variables) because they are the counterpart for the quantum problem of the classical action for the analog semiclassical problem

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