Browsing Mathematics (Faculty of) by Subject "separation of variables"
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On the Solution of the Hamilton-Jacobi Equation by the Method of Separation of Variables
(University of Waterloo, 2000)The method of separation of variables facilitates the integration of the Hamilton-Jacobi equation by reducing its solution to a series of quadratures in the separable coordinates. The case in which the metric tensor is ... -
Orthogonal Separation of The Hamilton-Jacobi Equation on Spaces of Constant Curvature
(University of Waterloo, 2014-04-24)What is in common between the Kepler problem, a Hydrogen atom and a rotating black- hole? These systems are described by different physical theories, but much information about them can be obtained by separating an ...