FERMI SYSTEMS, HUBBARD MODEL AND A SYMBOLICC++ IMPLEMENTATION

Yorick Hardy and Willi-Hans Steeb ()
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Yorick Hardy: International School for Scientific Computing at the Rand Afrikaans University, Auckland Park 2006, South Africa
Willi-Hans Steeb: International School for Scientific Computing at the Rand Afrikaans University, Auckland Park 2006, South Africa

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 02, 235-245

Abstract: 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.

Keywords: Fermi Systems; Hubbard Model; Computer Algebra; SymbolicC++ (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001638

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