量子力学连续性方程的矩阵表示

Matrix Representation of the Continuum Equation in Quantum Mechanics

首先指出处在任意势场中粒子的任意状态的几率密度只有在坐标表象中才普遍满足连续性方程,然后根据所构造的坐标表象中的几率密度矩阵、微分算符矩阵和几率流密度矢量矩阵,写出几率密度连续性方程的矩阵表示,并作一些讨论.

At first it is pointed out that only in the coordinate representation can the probability density of any state for a particle under any potentials generally fulfills the continuum equation. Then the matrix representation of the continuum equation of probability density is presented by virtue of the probability density matrix, the differential operator matrix and the matrix of probability current density vector configured in the coordinate representation, and some discussions are given.