Abstract
We already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2N coordinates (q i p i ) to 2N constant values (Q i , P i ), e.g., to the 2N initial values (q 0 i , p 0 i ) at time t = 0. Then the problem would be solved, q = q(q 0, p 0, t), p = p(q 0, p o, t).
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© 2001 Springer-Verlag Berlin Heidelberg
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Dittrich, W., Reutera, M. (2001). The Hamilton—Jacobi Equation. In: Classical and Quantum Dynamics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56430-7_7
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DOI: https://doi.org/10.1007/978-3-642-56430-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42066-8
Online ISBN: 978-3-642-56430-7
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