Application of non-commutative algebra to a soluble fermionic model

I.C. Charret, E.V.Corrêa Silva, S.M. de Souza, O.Rojas Santos, M.T. Thomaz and C.E.I. Carneiro

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 1, 204-221

Abstract: 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 Mechanics with self-interacting fermions that is exactly soluble. The knowledge of the exact expression for its grand canonical partition function enables us to check the β-expansion obtained using our Grassmann-algebra-based technique.

Keywords: Mathematical methods in physics; Fermionic system; Grand canonical partition function (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:1:p:204-221

DOI: 10.1016/S0378-4371(98)00398-7

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