恒力场下粒子一维运动问题的求解

Solution of one-dimensional motion of a particle in a constant force field

利用动量表象与坐标表象的等价性,本文采用了动量表象和路径积分的方法计算了恒力场下一维运动粒子的传播函数,然后再将其转换为坐标表象下的传播函数.提出了一种路径积分的解法思路,展示了动量表象在解决恒力场下粒子一维运动问题的价值.

Based on the equivalence between momentum representation and coordinate representation, an alternative method is presented,where the momentum representation and the Feynman＇ s path integral are employed to calculate the propagator function of a particle in a constant force field,then the result is transformed into the coordinate representation. We present a way to solve the Feynman＇ s path integral, which exhibits the high value of momentum representation if the solution of one-dimensional motion of a particle in a constant force field.