Honors Program
Honors in Physics and Astronomy
Date of Award
8-2014
Thesis Professor(s)
Dr. Frank Hagelberg
Thesis Professor Department
Physics and Astronomy
Thesis Reader(s)
Rodney Keaton, Mark Giroux
Abstract
We investigate the energy levels of a particle confined in the isotropic oscillator potential with a magnetic and spatially varying electric field. Here we are able to exactly solve the Schrodinger equation, using matrix methods, for the first excited states. To this end we find that the spatial gradient of the electric field acts as a magnetic field in certain circumstances. Here we present the changes in the energy levels as functions of the electric field, and other parameters.
Publisher
East Tennessee State University
Document Type
Honors Thesis - Open Access
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Recommended Citation
Frost, david L. Mr. and Hagelberg, Frank, "Isotropic Oscillator Under a Magnetic and Spatially Varying Electric Field" (2014). Undergraduate Honors Theses. Paper 415. https://dc.etsu.edu/honors/415
Copyright
Copyright by the authors.
Included in
Atomic, Molecular and Optical Physics Commons, Partial Differential Equations Commons, Physical Chemistry Commons, Quantum Physics Commons