Abstract

TORRES DEL CASTILLO, G.F.. Coordinate systems adapted to constants of motion. Rev. mex. fis. [online]. 2013, vol.59, n.5, pp.478-481. ISSN 0035-001X.

We present some examples of mechanical systems such that given n constants of motion in involution (where n is the number of degrees of freedom), we can identify a coordinate system in which the Hamilton-Jacobi equation is separable (or R-separable), with the separation constants being the values of the given constants of motion. Analogous results for the Schrödinger equation are also given.

Keywords : Hamilton-Jacobi equation; constants of motion; separation of variables; R-separability; Schrödinger equation.