Abstract
From an explicit construction of the many particle states, we demonstrate that q-basic numbers arise naturally in a theory which interpolates between Bose–Einstein and Fermi–Dirac statistics. We formulate such a theory based on the principle of detailed balance. We obtain a transcendental equation for the distribution function and seek a series solution. This theory has the correct Boson limit but the Fermion limit leads to generalized Fermions not obeying the exclusion principle. We also express the distribution function as an infinite continued fraction. The first approximant of the theory reproduces the distribution function of our earlier work. Some general results from the exact theory are summarized.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
