Example 3.10: Time independence of Jacobi determinant Prove Liouvilles theorem by verification of the time independence of
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Example 3.10: Time independence of Jacobi determinant Prove Liouville’s theorem by verification of the time independence of the Jacobi determinant J under infinitesimal contact transformations Q = q+ ˙qδt, P = p+ ˙pδt. [Hint: Start from dQdP =
Jdqdp, and prove that dJ/dt = 0].
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