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Answer by Qmechanic for Connection between Poisson bracket and Anti-commutator?

FWIW, in classical Hamiltonian formalism, the phase space is a supermanifold with a super-Poisson bracket$\{\cdot,\cdot\}_{SPB}$. The super-Poisson bracket corresponds to a...

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Connection between Poisson bracket and Anti-commutator?

Canonical quantization promotes Poisson brackets in classical mechanics to commutators in quantum mechanics. Is there any classical counterpart similar to the Poisson bracket for the anticommutator?

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