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Partial rectification for the Physics:-Simplify and Physics:-Library:-SortProducts procedures dealing with Fermi annihilation/creation operators

This post will be useful for physicists dealing with Fermi annihilation/creation operators. Physics Package provides plenty of powerful tools for quantum operators handling, however some of them often fail to render correct result.  In particular incorrect behaviour with respect to Fermi annihilation/creation operators is observed for routines Simplify and SortProducts.  In this post I present my procedures S*implifyFermionicOperators and SortProductsFermi which partially solve these issues.

Problems with Physics Package routines
   

Short explanation of custom routines SimplifyFermionicOperators and SortProductsFermi
   

"Details for SimplifyFermionicOperators(z,prefix)"
   

"Details for SortProductsFermi(x,L,prefix)"
   

Weak points
   

Final notes
   


Download FermiCreationAnnihilation.mw
physics operator simplification quantum physics

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