Coordinate systems adapted to constants of motion

G.F. Torres del Castillo

Abstract


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; -separability; Schrödinger equation

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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