A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.
In particular, determine the canonical variables: Q1 =x, Q 2 = ˙x, P1 = ∂L ∂˙x − d dt ∂L ∂¨x , P 2 = ∂L ∂¨x
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Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators
A pedagogical exposition of the Hamilton-Ostrogradski formalism applied to the Pais-Uhlenbeck model and coupled oscillators for advanced classical mechanics courses.