We explore the properties of the non-commutative Grassmann algebra to study the unidimensional Generalized Hubbard model, obtaining the analytical expressions for the first three terms in the high temperature expansion of its grand canonical partition function, with no restrictions to the...

We explore the properties of the non-commutative Grassmann algebra to obtain the high-temperature expansion of the grand canonical partition function for self-interacting fermionic systems. As an application, we consider the anharmonic fermionic oscillator, the simplest model in Quantum...