Schrodinger.m: A Mathematica Package for Solving the Time-Independant Schrödinger Equation

John C. Hansen
Southwest State University, Marshall, MN 56258
J. Chem. Educ., 1996, 73 (6), p 523
DOI: 10.1021/ed073p523.1
Publication Date (Web): June 1, 1996

Abstract

Schroedinger.m enables the user of Mathematica, a software system available from Wolfram Research, Inc. (), to define a potential and determine bound-state energy eigenvalues for a one-dimensional Hamiltonian. Students new to both quantum mechanics and Mathematica find Schroedinger.m easy to use. It can be used in a junior-level physical chemistry course to provide examples or to provide the means for students in such a course to carry out numerical experiments.The commands defined in the package require only elementary knowledge of Mathematica. However, the more Mathematica one knows, the further one can go with the applications. Knowing even a very few basic Mathematica functions enables a student to use solutions from this package to do some fairly sophisticated computations with one-dimensional wave functions.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Feature):

JCE Software

Keywords (Pedagogy):

Computer-Based Learning

Keywords (Subject):

Mathematics / Symbolic Mathematics
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  • Received: August 03, 2009

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