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Anticommuting spinor calculations

Is there a right way to implement anticommuting spinors so that it can work with Simplify, possibly algebraic functions like Expand, and possibly also numerical calculations?

I have a friend in the Physics department who has been asking me this for a few years, so it would really help him out. Thanks.

POSTED BY: Todd Rowland

are you thinking of doing that in a finite vector space (eg Jordan-Wigner transform) or infinite dimensional space? Both cases can be handled by new non-commutative features: https://reference.wolfram.com/language/guide/NoncommutativeAlgebra.html In the case of finite vector space, Wolfram quantum framework supports them: https://resources.wolframcloud.com/PacletRepository/resources/Wolfram/QuantumFramework/tutorial/SecondQuantization.html

POSTED BY: Mohammad Bahrami
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