A new geometrical framework for time-dependent Hamiltonian mechanics.
Enrico Massa, Stefano Vignolo (2003)
Extracta Mathematicae
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Displaying similar documents to “Some aspects of the homogeneous formalism in field theory and gauge invariance”
A new geometrical framework for time-dependent Hamiltonian mechanics.
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Using the Clifford bundle formalism we show that Frenet equations of classical differential geometry or its spinor version are the appropriate equations of motion for a classical spinning particle. We show that particular values of the curvatures appearing in Darboux bivector of the spinor form of Frenet equations produce a "classical" Dirac-Hestenes equation. Using the concept of multivector Lagrangians and Hamiltonians we provide a Lagrangian and Hamiltonian approach for our theory...
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