A formulation of Hamiltonian mechanics using geometric algebra

DOI10.1007/S00006-000-0004-0zbMath0986.70012OpenAlexW2039554056MaRDI QIDQ5947318

E. T. Abou El Dahab

Publication date: 6 June 2002

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-000-0004-0

zbMATH Keywords

Poisson bracketsymplectic formphase spaceClifford algebrageometric algebraDirac quantization mapLagrange bracketlinear Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton–Jacobi theory

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