Resumo

TORRES DEL CASTILLO, G. F.. Solution of the Schrödinger equation making use of time-dependent constants of motion. Rev. mex. fis. [online]. 2015, vol.61, n.5, pp.376-379. ISSN 0035-001X.

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.

Palavras-chave : Constants of motion; Schrödinger equation; Green's functions.

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