Non-extensive entropy of bosonic Fibonacci oscillators

Abstract

We discuss possible connections between the thermostatistical properties of a gas of thetwo-parameter deformed bosonic particles called Fibonacci oscillators and theproperties of the Tsallis thermostatistics. In this framework, we particularly focuson a comparison of the non-extensive entropy functions expressed by these twogeneralized theories. We also show that the thermostatistics of the two-parameterdeformed bosons can be studied using the formalism of Fibonacci calculus, whichgeneralizes the recently proposed formalism of Lavagno and Narayana Swamy ofq-calculus for the one-parameter deformed boson gas. As an application, we brieflysummarize some of the recent results on the Bose–Einstein condensation phenomenon forthe present two-parameter generalized boson gas.