A 29‐root soluble model for the nonlinear calculation of a four‐body propagator

The time‐independent mean‐field theory of collisions is applied to the collision of four one‐dimensional particles. Their two‐body interactions are taken as separable, with Lorentzian form factors. This allows completely analytical solutions. A unique and satisfactory physical branch emerges out of...

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Bibliographic Details
Published in:Journal of mathematical physics 1988-09, Vol.29 (9), p.2084-2089
Main Authors: Giraud, B. G., Kessal, S., Weiguny, A.
Format: Article
Language:English
Subjects:
Atomic and molecular physics
Classical and quantum physics: mechanics and fields
Electronic structure of atoms, molecules and their ions: theory
Exact sciences and technology
General theory of scattering
Other topics in the theory of the electronic structure of atoms, molecules and their ions
Physics
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Summary:The time‐independent mean‐field theory of collisions is applied to the collision of four one‐dimensional particles. Their two‐body interactions are taken as separable, with Lorentzian form factors. This allows completely analytical solutions. A unique and satisfactory physical branch emerges out of 29 candidate solutions. It is very stable when the strength of the interaction is modified.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.527866