Coordinate systems adapted to constants of motion

Authors

  • G.F. Torres del Castillo

Keywords:

Hamilton--Jacobi equation, constants of motion, separation of variables, -separability, Schrödinger equation

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.

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Published

2013-01-01

How to Cite

[1]
G. Torres del Castillo, “Coordinate systems adapted to constants of motion”, Rev. Mex. Fís., vol. 59, no. 5, pp. 478–0, Jan. 2013.

Issue

Vol. 59 No. 5 (2013): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.