拉氏函数和哈密顿原理对量子波动场的分析和应用

Analysis and Application of Lagrangian Function and Hamilton′s Principle in the Quantum Wave Field

利用经典力学的分析方法求解量子场问题 ,分析了经典拉格朗日函数和哈密顿原理在量子波动场中的应用条件 ,导出了场方程的表现形式 ,并就粒子在势能为V(x) 的波动场中的运动能量进行了具体计算 .

By analysing the applied conditions of lagrangian function and Hamilton's principle in the quantum wave field,we have deduced the formality of its field equation.In addition,we have made in detail its calculation of the kinetic energy of the particle with a potential energy V(x) in the wave field.