A mean field analysis of a onedimensional quantum liquid with long range interaction
Abstract
Bilocal mean field theory is applied to a onedimensional quantum liquid with a long range 1/ r^{2} interaction, which has an exact ground state wave function. We obtain a mean field solution and an effective action which expresses a long range dynamics. Based on them the ground state energy and correlation functions are computed. The ground state energy agrees fairly well with the exact value and the exponents have a weaker coupling constant dependence than that of the partly known exact value.
 Publication:

Physics Letters A
 Pub Date:
 March 1994
 DOI:
 10.1016/03759601(94)909237
 arXiv:
 arXiv:condmat/9311025
 Bibcode:
 1994PhLA..186...65I
 Keywords:

 Condensed Matter
 EPrint:
 EPHOU93002, 10 pages (LaTeX), 3 figures available upon request as hard copy