Abstract
Given a Hamiltonian H=H(q i ,p i ,t), the motion of the system is found by integration of the Hamilton equations. In the case of so-called cyclic coordinates, these equations are easy to solve. In the general case, it may be useful to transform the original coordinates and respective momenta to new coordinates, for which the equations are easier to solve. Such transformations are called canonical transformations.
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© 2010 Springer-Verlag Berlin Heidelberg
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Greiner, W. (2010). Canonical Transformations. In: Classical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03434-3_19
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DOI: https://doi.org/10.1007/978-3-642-03434-3_19
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