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Generalized Radial Equations in a Quantum N-Body Problem

Zhong-Qi Ma·Bing Duan·Xiao-Yan Gu
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Abstract

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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Zhong-Qi Ma, Bing Duan, Xiao-Yan Gu. 2000-10-20. Generalized Radial Equations in a Quantum N-Body Problem. https://arxiv.org/abs/physics/0010049

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