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Progress of Theoretical Physics

Higher Order Bose-Einstein Correlation Functions of Identical Particles

N. Suzuki, M. Biyajima

Published Sep 1, 1992• 13 citations
Publisher

Abstract

Formulae of the higher order correlation functions of the identical particles in the quantum optical approach are obtained from the generating functional of momentum densities.
DOI
10.1143/ptp.88.609

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Two basic correlation functions are calculated for a model of N harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case. The dependence of these static response properties on the complete range of the temperature and of the number of particles is obtained. The calculation technique is based on the path integral approach of symmetrized density matrices for identical particles in a parabolic confining well.
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Symmetric Tamm-Dancoff (STD) type qqq-deformed quantum oscillators are used as the base for constructing the respective STD type qqq-Bose gas model. In this letter, within the STD qqq-deformed Bose gas model we derive explicit analytic expressions for the rrr-particle momentum distribution functions, and for the (momentum) correlation function intercepts of 2nd, 3rd, and any rrrth order. Besides, we obtain large-momentum asymptotic formulas for the rrrth order intercepts which show dependence on the qqq-parameter only. The obtained formulas provide new example, in addition to already known two cases, of exact results for rrr-particle distributions and the correlation function intercepts in deformed analogs of Bose gas model.