Quantum four-body system in D dimensions

Abstract

By the method of generalized spherical harmonic polynomials, the Schrödinger 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.

19 pages, no figure, RevTex, Submitted to J. Math. Phys