量子散射的玻恩近似和程函近似

The Born Approximation and Eikonal Approximation of the Quantum Scattering

散射理论是量子力学的一项重要内容.在规定的入射能量下,分别给定Gauss位势和Lenz-jensen位势,计算了散射总截面的玻恩近似和程函近似.结果表明对于Gauss位势,电子能量越大,总散射截面越小,势场对电子的散射越弱.对于Lenz-jensen位势,势对高能粒子的影响比较小,大部分散射的粒子集中在小角度范围内.

The theory of scattering is a very important part of the quantum mechanics.The Born approximation and Eikonal approximation of the Scattering cross-section are calculated with the Gauss potential and Lenz-jensen potential under a particular incident energy.The results show that the bigger the Electronic energy is,the smaller the total scattering crossection is and the weaker the electron scattering of potential field is.There is little influence of potential to the energetic particle about the Lenz-jensen potential.And the majority of scattered particles are concentrated on a narrow range.