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Anticommuting Variables and Pseudo-classical Mechanics

In: Quantum Theory, Groups and Representations

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  • Peter Woit

    (Columbia University, Department of Mathematics)

Abstract

The analogy between the algebras of operators in the bosonic (Weyl algebra) and fermionic (Clifford algebra) cases can be extended by introducing a fermionic analog of phase space and the Poisson bracket. This gives a fermionic analog of classical mechanics, sometimes called “pseudo-classical mechanics," the quantization of which gives the Clifford algebra as operators, and spinors as state spaces.

Suggested Citation

  • Peter Woit, 2017. "Anticommuting Variables and Pseudo-classical Mechanics," Springer Books, in: Quantum Theory, Groups and Representations, chapter 0, pages 383-393, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64612-1_30
    DOI: 10.1007/978-3-319-64612-1_30
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