Solution of the Schrödinger equation making use of time-dependent constants of motion

Authors

  • G.F. Torres del Castillo

Keywords:

Constants of motion, Schrödinger equation, Green's functions

Abstract

It is shown that if a complete set of mutually commuting operators is formed by constants of motion, then, up to a factor that only depends on the time, each common eigenfunction of such operators is a solution of the Schrödinger equation. In particular, the operators representing the initial values of the Cartesian coordinates of a particle are constants of motion that commute with each other and from their common eigenfunction one readily obtains the Green function.

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Published

2015-01-01

How to Cite

[1]
G. Torres del Castillo, “Solution of the Schrödinger equation making use of time-dependent constants of motion”, Rev. Mex. Fís., vol. 61, no. 5 Sept-Oct, pp. 376–0, Jan. 2015.

Issue

Vol. 61 No. 5 Sept-Oct (2015): 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.