Resumo

TORRES DEL CASTILLO, G.F.  e  HERRERA FLORES, J.E.. Symmetries of the hamiltonian operator and constants of motion. Rev. mex. fis. [online]. 2016, vol.62, n.2, pp.135-137. ISSN 0035-001X.

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.

Palavras-chave : Conserved quantities; symmetries.

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