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- W2022671931 abstract "For a given, in general, singular Lagrangian containing higher-order time derivatives, a dynamically equivalent Lagrangian with only first-order time derivatives is constructed. A Hamiltonian structure for this first-order Lagrangian is then found with the use of the Dirac theory of constraints. It is shown that in the case of a nonsingular higher-order Lagrangian, the Ostrogradsky dynamics is derived in this way. Further, it is shown that ambiguities characteristic of higher-order Lagrangian systems do not appear when using this construction. In particular, it is shown that the addition of a total time derivative term to the higher-order Lagrangian can only induce a time-independent canonical transformation, even in the case of a singular Lagrangian." @default.
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- W2022671931 date "1990-09-01" @default.
- W2022671931 modified "2023-09-27" @default.
- W2022671931 title "Treatment of higher‐order Lagrangians via the construction of dynamically equivalent first‐order Lagrangians" @default.
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- W2022671931 doi "https://doi.org/10.1063/1.528664" @default.
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