Generalized Radial Equations in a Quantum N-Body Problem
Zhong-Qi Ma, Bing Duan, Xiao-Yan Gu
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 () and the parity in the system can be expanded with respect to (2+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+1) coupled partial differential equations containing only (3N-6) internal variables.
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