Abstract: This paper points out some errors in the article of “Commonly using

mathematical tools in the course of quantum mechanics”and lists the correct formula. There are

many formulas in quantum mechanics，while the optimal tool for solving calculation problems should

be MATLAB. In this paper，with help of MATLAB，we have illustrated the algorithm of limit，the

algorithm of integration，the solution of ordinary differential equations，the representation

and algorithm of Dirac function，the usage of gamma function and beta function，and the algorithm of

special functions. One-dimensional linear harmonic oscillator has been taken as an example，which

can reflect the application of MATLAB in quantum mechanics. MATLAB can also calculate and show the

graphics about the proba- bility density of the emergence of electrons in hydrogen atoms.

Key words: quantum mechanics, mathematical tool, MATLAB