Unnormalized nonextensive expectation value and zeroth law of thermodynamics

We show an attempt to establish the zeroth law of thermodynamics within the framework of nonextensive statistical mechanics based on the classic normalization $\texttt{Tr}\hat{\rho}=1$ and the unnormalized expectation $x=\texttt{Tr}\hat{\rho}^q\hat{x}$. The first law of thermodynamics and the definition of heat and work in this formalism are discussed.