Invariant manifolds and collective motion in many-body systems

Details Invariant manifolds and collective motion in many-body systems Invariant manifolds and collective motion in many-body systems

2002-06-21

arxiv.org/abs/nlin/0206035v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, PDF, published in AIP Conference Proceedings 597 (2001)

Scientific paper

Collective modes of interacting many-body systems can be related to the motion on classically invariant manifolds. We introduce suitable coordinate systems. These coordinates are Cartesian in position and momentum space. They are collective since several components vanish for motion on the invariant manifold. We make a connection to Zickendraht's collective coordinates and also obtain shear modes. The importance of collective configurations depends on the stability of the manifold. We present an example of quantum collective motion on the manifold

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