The ”ccr_car_algebra” package has been written for physicists and/or mathematicians, who would like to save themselves the sometimes tedious work to verify algebraic identities or calculate expectation values in many particle physics. In particular I had the CCR- and CAR-Algebras of respectively Bose and Fermi systems in mind, but the package can deal with polynomials of any algebra given by its commutation or anti-commutation relations. It includes some commands particular to the so called Wick-Theorem (hierarchy of functionals, truncated functionals), a somewhat more specialized topic

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  1. Rok Zitko: SNEG - Mathematica package for symbolic calculations with second-quantization-operator expressions (2011) arXiv