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A FORMULATION OF HAMILTONIAN MECHANICS USING GEOMETRIC ALGEBRA

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Abstract.

Geometric Algebra is introduced. The basic concepts of Hamilton mechanics are derived using the Geometric Algebra. Standard Poisson bracket and standard Lagrange bracket is introduced in terms of the Geometric Algebra. The Dirac quantization map is derived in a new view, which is used to derive the plus Poisson bracket, which seems different from the previous forms by other authors.

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  1. Mathematics Department, Military Technical College, Cairo, Egypt

    E. T. Abou El Dahab

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  1. E. T. Abou El Dahab
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Abou El Dahab, E.T. A FORMULATION OF HAMILTONIAN MECHANICS USING GEOMETRIC ALGEBRA. AACA 10, 217–223 (2000). https://doi.org/10.1007/s00006-000-0004-0

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  • DOI: https://doi.org/10.1007/s00006-000-0004-0

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