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Bose statistics; Fermi statistics; Bose–Einstein condensation; degenerate gases; BCS-BEC cross-over

In this work, the statistical distribution functions for boson, fermions and their mixtures have been derived and it is found that distribution functions follow the symmetry features of $\beta$ distribution. If occupation index is greater than unity, then it is easy in the present approach to visualise condensations in terms of intermediate values of mixing parameters. There are some applications of intermediate values of mixing parameters.

S B KHASARE¹ SHASHANK S KHASARE²

1. Department of Physics, Science College, Congress Nagar, Nagpur 440 012, India
2. Department of Computer Science, Indian Institute of Technology, New Delhi 110 016, India

Published

1 March 2018

Manuscript received

19 June 2017

Manuscript revised

5 October 2017

Accepted

24 October 2017

Early published

Unedited version published online

Final version published online

8 February 2018