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...

The one site self-interacting fermionic model is considered in the presence of an external magnetic field precessing with constant angular velocity around a fixed axis. We get the exact density operator for the identical particle system as well as its one-particle properties, for general initial...