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arXiv · 1005.3941

Modified Hamiltonian formalism for higher-derivative theories

Krzysztof Andrzejewski·Joanna Gonera·Piotr Machalski·Pawel Maslanka
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Abstract

The alternative version of Hamiltonian formalism for higher-derivative theories is proposed. As compared with the standard Ostrogradski approach it has the following advantages: (i) the Lagrangian, when expressed in terms of new variables yields proper equations of motion; no additional Lagrange multipliers are necessary (ii) the Legendre transformation can be performed in a straightforward way provided the Lagrangian is nonsingular in Ostrogradski sense. The generalization to singular Lagrangians as well as field theory are presented.

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Krzysztof Andrzejewski, Joanna Gonera, Piotr Machalski, Pawel Maslanka. 2010-07-30. Modified Hamiltonian formalism for higher-derivative theories. https://doi.org/10.1103/physrevd.82.045008

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