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Invariant Manifolds and Collective Coordinates | | T. Papenbrock
; T. H. Seligman (Centro de Ciencias Fisicas
; University of Mexico
; | | Date: |
21 Mar 2000 | | Journal: | J.Phys. A34 (2001) 7423-7430 | | Subject: | Nuclear Theory; Chaotic Dynamics | nucl-th nlin.CD | | Affiliation: | Institute for Nuclear Theory, Seattle, USA) and T. H. Seligman (Centro de Ciencias Fisicas, University of Mexico (UNAM), Cuernavaca, Mexico | | Abstract: | We introduce suitable coordinate systems for interacting many-body systems with invariant manifolds. These are Cartesian in coordinate and momentum space and chosen such that several components are identically zero for motion on the invariant manifold. In this sense these coordinates are collective. We make a connection to Zickendraht’s collective coordinates and present certain configurations of few-body systems where rotations and vibrations decouple from single-particle motion. These configurations do not depend on details of the interaction. | | Source: | arXiv, nucl-th/0003049 | | Services: | Forum | Review | PDF | Favorites | |
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