The conserved operators generated by a solution of the Schrödinger equation

Authors

  • G.F. Torres del Castillo
  • E. Navarro Morales

Keywords:

Wavefunctions, Hamilton--Jacobi equation, Schrödinger's equation, constants of motion

Abstract

It is shown that, in a similar manner as a complete solution of the Hamilton--Jacobi equation for a system with $n$ degrees of freedom yields $2n$ constants of motion, each solution of the Schrödinger equation containing $n$ parameters leads to $2n$ operators that are constants of motion; these $2n$ operators form two sets of $n$ mutually commuting operators.

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Published

2012-01-01

How to Cite

[1]
G. Torres del Castillo and E. Navarro Morales, “The conserved operators generated by a solution of the Schrödinger equation”, Rev. Mex. Fís., vol. 58, no. 2, pp. 180–183, Jan. 2012.

Issue

Vol. 58 No. 2 (2012): 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.