标题： 逆积分变换的评估适用于本科生物理学生 显示英文标题

标题： Evaluation of inverse integral transforms for undergraduate physics students

摘要： 我们提供了一种简单的方法来评估逆积分变换，该方法不需要任何复分析的知识。 该方法的核心思想是将逆变换转化为求解常微分方程。 我们通过提供逆变换的示例来说明该方法的实用性，而无需使用表格。 我们还演示了该方法如何用于获得函数的一般表示形式，该形式涉及狄拉克-δ分布及其导数的级数，这在量子力学、半经典和核物理中有应用。 显示英文摘要

摘要： We provide a simple approach for the evaluation of inverse integral transforms that does not require any knowledge of complex analysis. The central idea behind the method is to reduce the inverse transform to the solution of an ordinary differential equation. We illustrate the utility of the approach by providing examples of the evaluation of transforms, without the use of tables. We also demonstrate how the method may be used to obtain a general representation of a function in the form of a series involving the Dirac-delta distribution and its derivatives, which has applications in quantum mechanics, semi-classical, and nuclear physics.