A new geometrical framework for time-dependent Hamiltonian mechanics.
Enrico Massa, Stefano Vignolo (2003)
Extracta Mathematicae
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Enrico Massa, Stefano Vignolo (2003)
Extracta Mathematicae
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Choudhuri, Amitava, Talukdar, B., Das, U. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Rañada, Manuel F. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Popescu, Marcela, Popescu, Paul (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Waldyr Rodrigues, Jayme Vaz, Matej Pavsic (1996)
Banach Center Publications
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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...
Chavchanidze, G. (2003)
Georgian Mathematical Journal
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Chavchanidze, G. (2001)
Georgian Mathematical Journal
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Popowicz, Ziemowit (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Golenia, Jolanta, Pavlov, Maxim V., Popowicz, Ziemowit, Prykarpatsky, Anatoliy K. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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