Anticommuting Variables and Pseudo-classical Mechanics

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 30 in Quantum Theory, Groups and Representations, 2017, pp 383-393 from Springer

Abstract: 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.

Keywords: Fermionic Analogue; Clifford Algebra; Poisson Bracket; Weyl Algebra; Grassmann Algebra (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-64612-1_30

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