Hamilton-Jacobi theory for one dimensional autonomous systems using parametric transformations
classification
🧮 math-ph
math.MP
keywords
autonomousdimensionalhamilton-jacobiparametertransformationapproachconditionenergy
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A necessary and sufficient condition for a parameter transformation that leaves invariant the energy of a one dimensional autonomous system is obtained. Using a parameter transformation the Hamilton-Jacobi equation is solved by a quadrature. An example of this approach is given.
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