Grassmann calculus, pseudoclassical mechanics, and geometric algebra

DOI10.1063/1.530053zbMath0812.58011OpenAlexW2061933587WikidataQ60732528 ScholiaQ60732528MaRDI QIDQ3141369

Anthony Lasenby, Stephen F. Gull, Chris Doran

Publication date: 16 May 1995

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

Full work available at URL: https://semanticscholar.org/paper/b4c11716a1504da1d4412839cff3b1166b8577c7

zbMATH Keywords

Clifford algebrageometric algebrapath-integral quantizationBerezin integralGrassmann calculuspseudoclassical mechanics

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Clifford algebras, spinors (15A66) Analysis on supermanifolds or graded manifolds (58C50) Exterior algebra, Grassmann algebras (15A75)

Related Items (11)

A Grassmann integral equation ⋮ Algebraic and Dirac–Hestenes spinors and spinor fields ⋮ Deformed geometric algebra and supersymmetric quantum mechanics ⋮ Geometric algebra and star products on the phase space ⋮ Spin description in the star product and path integral formalisms ⋮ Berezin integral as a limit of Riemann sum ⋮ A NOVEL THEORY OF ELECTROWEAK INSTANTONS ⋮ Star products and geometric algebra ⋮ Calculus on the multivector manifold spin+(p,q) ⋮ Non-Abelian Chern-Simons action is topological invariant on 3 simple knot ⋮ Lie groups as spin groups

Cites Work

• Multivectorial representation of Lie groups
• Curvature calculations with spacetime algebra
• The design of linear algebra and geometry
• Particle spin dynamics as the Grassmann variant of classical mechanics
• DIFFERENTIAL AND INTEGRAL GEOMETRY OF GRASSMANN ALGEGRAS
• On the classification of Clifford algebras and their relation to spinors in n dimensions

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