Ground-state energy density of a dilute Bose gas in the canonical transformation

Sang Hoon Kim; Chul Ku Kim; Mukunda P. Das

doi:10.1142/s0217979207038423

Ground-state energy density of a dilute Bose gas in the canonical transformation

Sang Hoon Kim^*, Chul Ku Kim, Mukunda P. Das

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	5302-5318
Number of pages	17
Journal	International Journal of Modern Physics B
Volume	21
Issue number	32
DOIs	https://doi.org/10.1142/s0217979207038423
Publication status	Published - 30 Dec 2007

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title = "Ground-state energy density of a dilute Bose gas in the canonical transformation",

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.",

keywords = "Canonical transformation, Ground-state energy density, Particles depletion",

author = "Kim, \{Sang Hoon\} and Kim, \{Chul Ku\} and Das, \{Mukunda P.\}",

year = "2007",

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doi = "10.1142/s0217979207038423",

language = "English",

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journal = "International Journal of Modern Physics B",

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T1 - Ground-state energy density of a dilute Bose gas in the canonical transformation

AU - Kim, Sang Hoon

AU - Kim, Chul Ku

AU - Das, Mukunda P.

PY - 2007/12/30

Y1 - 2007/12/30

N2 - 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.

AB - 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.

KW - Canonical transformation

KW - Ground-state energy density

KW - Particles depletion

UR - https://www.scopus.com/pages/publications/38349062619

U2 - 10.1142/s0217979207038423

DO - 10.1142/s0217979207038423

M3 - Article

SN - 0217-9792

VL - 21

SP - 5302

EP - 5318

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 32

ER -

Ground-state energy density of a dilute Bose gas in the canonical transformation

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