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arXiv · 1504.00030

Solution of the Schr\"odinger equation making use of time-dependent constants of motion

G. F. Torres del Castillo
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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 Schr\"odinger 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.

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G. F. Torres del Castillo. 2015-03-18. Solution of the Schr\"odinger equation making use of time-dependent constants of motion. https://arxiv.org/abs/1504.00030

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