A Mean Field Analysis of One Dimensional Quantum Liquid with Long Range Interaction
Condensed Matter
2009-10-22 v1
Abstract
Bi-local mean field theory is applied to one dimensional quantum liquid with long range interaction, which has 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 exponents have weaker coupling constant dependence than that of partly known exact value.
Keywords
Cite
@article{arxiv.cond-mat/9311025,
title = {A Mean Field Analysis of One Dimensional Quantum Liquid with Long Range Interaction},
author = {Kenzo. Ishikawa and Nobuki. Maeda},
journal= {arXiv preprint arXiv:cond-mat/9311025},
year = {2009}
}
Comments
EPHOU-93-002, 10 pages (LaTeX), 3 figures available upon request as hard copy