On the deformed oscillator and the deformed derivative associated with the Tsallis q-exponential

Ramaswamy Jagannathan, Sameen Ahmed Khan

The Tsallis $q$-exponential function $e_q(x)=(1+(1-q)x{)}^{\frac{1}{1-q}}$ is found to be associated with the deformed oscillator defined by the relations $\left[N,a^\dagger\right]…