Symmetries of the hamiltonian operator and constants of motion

Authors

  • G.F. Torres del Castillo
  • J.E. Herrera Flores

Keywords:

Conserved quantities, symmetries

Abstract

It is shown that, in the framework of non-relativistic quantum mechanics, any conserved Hermitian operator (which may depend explicitly on the time) is the generator of a one-parameter group of unitary symmetries of the Hamiltonian and that, conversely, any one-parameter family of unitary symmetries of the Hamiltonian is generated by a conserved Hermitian operator.

Downloads

Published

2016-01-01

How to Cite

[1]
G. Torres del Castillo and J. Herrera Flores, “Symmetries of the hamiltonian operator and constants of motion”, Rev. Mex. Fís., vol. 62, no. 2 Mar-Apr, pp. 135–0, Jan. 2016.

Issue

Vol. 62 No. 2 Mar-Apr (2016): 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.