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.
Lagrangian approach to dispersionless KdV hierarchy.
Choudhuri, Amitava, Talukdar, B., Das, U. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.
Rañada, Manuel F. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Lagrangians and higher order tangent spaces.
Popescu, Marcela, Popescu, Paul (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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The Clifford bundle and the dynamics of the superparticle
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...
Bi-Hamiltonian structure as a shadow of non-Noether symmetry.
Chavchanidze, G. (2003)
Georgian Mathematical Journal
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Non-Noether symmetries in singular dynamical systems.
Chavchanidze, G. (2001)
Georgian Mathematical Journal
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The integrability of new two-component KdV equation.
Popowicz, Ziemowit (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability.
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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Systems of rays in the presence of distribution of hyperplanes
S. Janeczko (1995)
Banach Center Publications
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Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical...