A Mean Field Analysis of One Dimensional Quantum Liquid with Long Range Interaction

Details A Mean Field Analysis of One Dimensional Quantum Liquid with Long Range Interaction A Mean Field Analysis of One Dimensional Quantum Liquid with Long Range Interaction

1993-11-10

arxiv.org/abs/cond-mat/9311025v1

Phys. Lett. 186A (1994) 65

Physics

Condensed Matter

EPHOU-93-002, 10 pages (LaTeX), 3 figures available upon request as hard copy

Scientific paper

10.1016/0375-9601(94)90923-7

Bi-local mean field theory is applied to one dimensional quantum liquid with long range $1/r^2$ 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.

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