Ground state of an interacting boson system

✍ Scribed by Eugene Feenberg

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 826 KB
• Volume: 84
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(74)90296-6

✦ Synopsis

The ground-state wave function for a system of interacting bosons is written in the form Assuming the existence of Fourier coefficients for the potential V(rSj) and the correlation functions U, , the Schroedinger equation transforms into a set of coupled nonlinear differential-integral equations for the correlation functions. A basic separation property of multidimensional Fourier series is involved in the derivation of the coupled equations. Leading terms in the formula for the energy resemble the corresponding Bogoliubov formula with a partial replacement of the interaction potential by an effective (or renormalized) potential. For a weak interaction, the energy is given correctly through third-order terms. The same leading terms give a useful approximation under realistic conditions. The analysis is useful in giving connections within a wide range of methods and over a wide range of physical conditions.