Finite difference method and rungekutta 3 method used for numerical solver. Numerical solution of 1d time independent schrodinger equation. Time dependent schrodinger equation is solved for arbitrary potentials, for up to 3 degrees of freedom using the trotter decomposition of the unitary time evolution operator. You have the option to save an animated gif file for the time evolution. Schrodinger is a set of matlab files which provide moderately accurate numerical solutions of a number of standard problems familiar from many introductory texts on quantum mechanics. Pdf matlab package for the schrodinger equation damian trif. Pdf matlab package for the schrodinger equation damian.
A matlab figure window gives a summary of the simulation parameters as shown in figure a. The package hermiteeig contains the function files pd. This involves matrix formulation of the partial di. Potential well defined by the potential energy function ux. An open source virtual laboratory for the schrodinger equation. Numerical and exact solution for schrodinger equation. Most of the constants and all the well parameters are declared in this file. Pdf using matlab to solve the linear timedependent. In this article, we share matlab codes which have been developed at. Matlab package for the schrodinger equation springerlink. Matlab version of qm1d 1d schrodinger equation solver. Wavepacket matlab wavepacket is a program package for numerical simulation of quantummechanical wavepacket dynamics o. Schrodinger equation, hermite spectral method, matlab ams subject. Doing physics with matlab quantum mechanics bound states 6 fig.