Green's Function Approach to B.E. Condensation in the Alkali Atoms

A new scheme has been proposed to solve the B.E. condenstates in terms of Green's function approach. It has been shown that the radial wave function of two interacting atoms, moving in a common harmonic oscillator potential modified by an effective interaction,satifies an integral equation whose kernel is separable.The solution of the integral equation can be written in terms of the harmonic oscillator wave functions. The ground state wave function of the system can be written in terms of these solutions. PACS numbers:03.75Fi,02.60Cb,32.80Pj