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Free Energy of a Nonideal Boson Gas
Author(s) -
Shokichi Kanno,
Toshiyuki Nishiyma
Publication year - 1968
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.40.1337
Subject(s) - physics , boson , excited state , scattering length , scattering , zero point energy , quantum mechanics , entropy (arrow of time) , quantum electrodynamics , equation of state
The free energy of a dilute nonideal boson gas is obtained by replacing the interaction potential by the effective potential which is given by the s-wave scattering length. The calculation is made up to the second order of the scattering length and the equation to de termine'the transition point is derived. It is shown that the interaction between the condensate and the excited bosons with non-zerO' momenta plays the essential role in the vici~ityof the transition pOInt. The condensate fraction and the entropy become continuous at the transition point in contrast with the theory of Lee and Yang and that of Luban.

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