CCAST, World Lab, Beijing 100080, Peoples R China
; Inst High Energy Phys, Beijing 100039, Peoples R China
By the method of generalized spherical harmonic polynomials, the Schrodinger equation for a four-body system in D-dimensional space is reduced to the generalized radial equations where only six internal variables are involved. The problem on separating the rotational degrees of freedom from the internal ones for a quantum N-body system in D dimensions is generally discussed. (C) 2003 American Institute of Physics.