Clifford algebras in symplectic geometry and quantum mechanics

DOI10.1007/s10701-012-9634-zzbMath1276.81065arXiv1112.2378OpenAlexW2007685617WikidataQ64357951 ScholiaQ64357951MaRDI QIDQ352880

Ernst Binz, Basil J. Hiley, Maurice A. De Gosson

Publication date: 5 July 2013

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2378

zbMATH Keywords

symplectic geometryquantum mechanicsClifford algebraPoisson algebra

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Clifford algebras, spinors (15A66) Poisson algebras (17B63) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

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Cites Work

• Clifford algebras and the Dirac-Bohm quantum Hamilton-Jacobi equation
• Multilinear algebra. 2nd ed
• Symplectic geometry and quantum mechanics
• Process, Distinction, Groupoids and Clifford Algebras: an Alternative View of the Quantum Formalism
• Principle of General Q Covariance
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