Effective Potential Description of the Quantum Ideal Gases

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Abstract
An attempt is made to describe the quantum ideal gases by means of a classical Boltzmann factor using an effective pair potential. We find the n‐body distribution function for ideal gases of spin 0 and use the n=2,3 cases, generalized for spin s, with the Born—Green hierarchal relation to obtain an integrodifferential equation for the effective potential. Several numerical solutions for both the Bose—Einstein and Fermi—Dirac ideal gases are presented.

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