The global rotational degrees of freedom is completely separated from the i
nternal ones in the Schrodinger equation for a quantum N-body system. We ex
plicitly established the generalized radial equations with arbitrary non-or
thogonal coordinate vectors, where only (3N - 6) internal variables are inv
olved both in the functions and in the equations. (C) 2001 Elsevier Science
B.V. All rights reserved.