José F Cariñena and Héctor Figueroa 1997 J. Phys. A: Math. Gen. 30 2705 doi:10.1088/0305-4470/30/8/017
Hamiltonian versus Lagrangian formulations of supermechanics
José F Cariñena
and Héctor Figueroa
We take advantage of different generalizations of the tangent manifold to the context of graded manifolds, together with the notion of super section along a morphism of graded manifolds, to obtain intrinsic definitions of the main objects in supermechanics such as, the vertical endomorphism, the canonical and the Cartan's graded forms, the total time derivative operator and the super-Legendre transformation. In this way, we obtain a correspondence between the Lagrangian and the Hamiltonian formulations of supermechanics.
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- Dates
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Issue 8 (21 April 1997)
Received 7 August 1996
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Hamiltonian versus Lagrangian formulations of supermechanics
José F Cariñena and Héctor Figueroa 1997 J. Phys. A: Math. Gen. 30 2705
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