Invariant Manifolds and Collective Coordinates

Details Invariant Manifolds and Collective Coordinates Invariant Manifolds and Collective Coordinates

2000-03-21

arxiv.org/abs/nucl-th/0003049v1

J.Phys.A34:7423-7430,2001

Physics

Nuclear Physics

Nuclear Theory

15 pages, 2 EPS-figures, uses psfig.sty

Scientific paper

10.1088/0305-4470/34/36/321

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.

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