In the present work, I discuss the effect of the Coulomb interaction on the dynamics of two-particle systems bound in various traps. The strategy of including the Coulomb interaction into the quantization condition of a trapped system is discussed in a general and nonperturbative manner. In most cases, Coulomb corrections to the quantization condition largely rely on a numerical approach or on perturbation expansion. Only for some special cases, such as the spherical hard wall trap, a closed form of the quantization condition with all orders of Coulomb corrections can be obtained.

中文翻译：

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人工陷阱中两粒子相互作用的库仑校正

在目前的工作中，我讨论了库仑相互作用对束缚在各种陷阱中的两粒子系统动力学的影响。以一般和非微扰的方式讨论了将库仑相互作用包含在被困系统的量化条件中的策略。在大多数情况下，量化条件的库仑校正主要依赖于数值方法或扰动扩展。只有对于某些特殊情况，例如球形硬壁陷阱，才能获得具有所有库仑校正阶数的量化条件的封闭形式。