A note on the generalization of Bijl-Feynman spectrum to multi-component systems with an application to double-layer charged Bose gas

Abstract

We consider the generalization of Bijl-Feynman excitation energy formula to multi-component Bose fluids. Identification of these excitation energies with those obtained from the poles of the density-density response function simplifies the calculation of static structure factors S_{ij}(q). This in turn helps simplify the self-consistent calculations that go beyond the usual random-phase approximation. We illustrate our approach by evaluating the structure factors and local-field corrections in a double-layer charged Bose gas.