Home

Publications

Presentations

Tutorials

Images

Animations

Group Members

Diversions

Links


Institute of Optics

bar_yell

General series solution for finite square-well energy levels for use in wave-packet studies

David L. Aronstein and C. R. Stroud, Jr.

Am. J. Phys. 68, 943 (2000).


We develop a series solution for the bound-state energy levels of the quantum-mechanical one-dimensional finite square-well potential. We show that this general solution is useful for local approximations of the energy spectrum (which target a particular energy range of the potential well for high accuracy), for global approximations of the energy spectrum (which provide analytic expressions of reasonable accuracy for the entire range of bound states), and for numerical methods. This solution also provides an analytic description of dynamical phenomena; with it, we compute the time scales of classical motion, revivals, and super-revivals for wave-packet states excited in the well.


Click here to download the .pdf version of the paper aronstein002.pdf (95 KB)


Previous Abstract

Publications List

Next Abstract





Web page maintained by
Hideomi Nihira ( nihira@optics.rochester.edu ).
Last modified 13 September 2006