arXiv:1504.00030 · Revista Mexicana de Física

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

G. F. Torres del Castillo

Published Jan 1, 2015• 1 citation

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.

DOI: 10.31349/revmexfis.61.5.376

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