论文标题
1D量子力学中的Feynman图的三角洲功能散射
Delta Function Scattering with Feynman Diagrams in 1d Quantum Mechanics
论文作者
论文摘要
在本文中，我们将证明在量子力学中使用Feynman图作为一维散射的使用。我们将通过求和一系列的Feynman图表来明确评估DIRAC三角洲和有限墙电位的S-Matrix，并说明了扰动理论的精神。该技术在入门量子力学课程中可能很有用，并通过连接Feynman图，自由繁殖和对相应观察到的相应观察到的散射问题的背景下为学生提供有关保护法的直觉。它还提供了一个玩具模型，用于计算量子场理论中的S-矩阵元素。
In this paper we will demonstrate the use of Feynman Diagrams for one dimensional scattering in quantum mechanics. We will evaluate the S-Matrix explicitly for the Dirac delta and finite wall potentials by summing the full series of Feynman diagrams, illustrating the spirit of perturbation theory. This technique may be useful in introductory quantum mechanics courses, and provides the student with intuition about conservation laws in the context of scattering problems by connecting Feynman diagrams, free propagation, and conservation of the corresponding observable. It also provides a toy model for calculating S-matrix elements in quantum field theory.
