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FERMI SYSTEMS, HUBBARD MODEL AND A SYMBOLICC++ IMPLEMENTATION

2001; World Scientific; Volume: 12; Issue: 02 Linguagem: Inglês

10.1142/s0129183101001638

1793-6586

Yorick Hardy, Willi-Hans Steeb,

Nonlinear Waves and Solitons

We show how the anticommutation relations for Fermi operators can be implemented with computer algebra using SymbolicC++. We describe applications to the Hubbard model. An important identity for Fermi operators is proved. Then, we test for higher order constants of motion for the Hubbard model. Finally, the matrix representation for the four point Hubbard model is calculated.