A spreadsheet template has been developed which can propagate a one-dimensional quantum mechanical wave function through a specified time-step. Repeated propagation results in a sequence of graphs which can be interpreted as "frames" of a movie. The wave function is represented by a set of its values on an evenly spaced grid. The initial state and the potential energy function may be set by the user. The spreadsheet calculation uses a recently developed method based upon distributed approximating functionals (DAFs). Although the template has been prepared on Microsoft Excel for the Macintosh, the method should be readily portable to any commonly-used spreadsheet program. The template is used to demonstrate wavepacket motion in a harmonic potential. Subsequent publications will focus on using the methodology to demonstrate other important quantum phenomena in an educational setting.
More Information
Citation
Hansen, John C.; Kouri, Donald J.; Hoffman, David K. J. Chem. Educ.1997 74 335.
Our Secondary School editors work hard to distill all the JCE materials to produce a fraction of particular interest to high school teachers. We call it CLIC.
In recent years we have worked hard to better match our advertisers with our readers. When shopping for chemistry education materials, visit our advertisers' WWW sites first.
Take JCE along on your outreach missions. Copies of the Journal, guest access to JCE Online, our publications catalog, and more are available for your participants.