GROUND-STATE ENERGY DENSITY OF A DILUTE BOSE GAS IN THE CANONICAL TRANSFORMATION

Author:

KIM SANG-HOON1,KIM CHUL KU2,DAS MUKUNDA P.3

Affiliation:

1. Division of Liberal Arts, Mokpo National Maritime University, Mokpo, Chonnam 530-929, Korea

2. Institute of Physics and Applied Physics, Yonsei University, Seoul 120-749, Korea

3. Department of Theoretical Physics, RSPhysSE, The Australian National University, Canberra, ACT 0200, Australia

Abstract

The ground-state energy density of an interacting dilute Bose gas system is studied in the canonical transformation scheme. It is shown that the transformation scheme enables us to calculate a higher order correction of order na3 in the particle depletion and ground-state energy density of a dilute Bose gas system, which corresponds to the density fluctuation resulting from the excited states. Considering a two-body interaction only, the coefficient of the na3 term is shown to be 2(π-8/3) for the particle depletion, and 16(π-8/3) for the ground-state energy density.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference16 articles.

1. A. A. Abrikosov, L. P. Gorkov and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1975) pp. 35–36.

2. A. L. Fetter and J. D. Walecka, Quantum Many-Particle Systems (McGraw-Hill, New York, 1971) pp. 221–222.

3. Ground-State Energy and Excitation Spectrum of a System of Interacting Bosons

4. Renormalization effects in a dilute Bose gas

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