Generalized Radial Equations in a Quantum NBody Problem
Abstract
We demonstrate how to separate the rotational degrees of freedom in a quantum Nbody 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 $(2\ell+1)$ basefunctions, 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 $(3N6)$ internal variables.
 Publication:

arXiv eprints
 Pub Date:
 October 2000
 arXiv:
 arXiv:physics/0010049
 Bibcode:
 2000physics..10049M
 Keywords:

 Atomic Physics
 EPrint:
 7 pages, no figure, RevTex