Abstract
A method of “Hamiltonization” of a singular theory with high derivatives is described. In the nonsingular case the result agrees with the known Ostrogradskii formulation. It is shown that the Lagrange equations of motion reduce to normal form in the nonsingular theory.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 61–66, August, 1983.
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Gitman, D.M., Lyakhovich, S.L. & Tyutin, I.V. Hamilton formulation of a theory with high derivatives. Soviet Physics Journal 26, 730–734 (1983). https://doi.org/10.1007/BF00898884
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DOI: https://doi.org/10.1007/BF00898884