Generalized Radial Equations in a Quantum N-Body Problem

Details Generalized Radial Equations in a Quantum N-Body Problem Generalized Radial Equations in a Quantum N-Body Problem

2000-10-20

arxiv.org/abs/physics/0010049v1

Physics

Atomic Physics

7 pages, no figure, RevTex

Scientific paper

We demonstrate how to separate the rotational degrees of freedom in a quantum N-body problem completely from the internal ones. It is shown that any common eigenfunction of the total orbital angular momentum ($\ell$) and the parity in the system can be expanded with respect to $(2\ell+1)$ base-functions, where the coefficients are the functions of the internal variables. We establish explicitly the equations for those functions, called the generalized radial equations, which are $(2\ell+1)$ coupled partial differential equations containing only $(3N-6)$ internal variables.

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