论文标题

非相关量子力学中的无量纲方程

Dimensionless equations in non-relativistic quantum mechanics

论文作者

Fernández, Francisco M.

论文摘要

我们讨论了在非相关量子力学中使用无量纲方程的众多优势。无量纲方程非常简单,并揭示了模型中相关参数的数量。应用数值方法时,它们不太容易出现圆形错误,因为所有数量都是统一的。无量纲方程有助于扰动理论的应用,并瞥见了我们将要事先获得的解决方案。

We discuss the numerous advantages of using dimensionless equations in non-relativistic quantum mechanics. Dimensionless equations are considerably simpler and reveal the number of relevant parameters in the models. They are less prone to round-off errors when applying numerical methods because all the quantities are of the other of unity. A dimensionless equation facilitates the application of perturbation theory and provides a glimpse of the sort of solution we are going to obtain beforehand.

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