BYU

Abstract by Scott Johnstun

Personal Infomation


Presenter's Name

Scott Johnstun

Degree Level

Undergraduate

Abstract Infomation


Department

Physics and Astronomy

Faculty Advisor

Jean-Francois Van Huele

Title

Exact solutions to the time-dependent Schrodinger Equation for arbitrary quadratic potentials and moving wells

Abstract

In courses on quantum mechanics, simple square well and harmonic oscillator potentials are studied frequently. We consider alternative methods that allow exact solutions to more general problems to be found, including arbitrary quadratic potentials and square wells with moving boundaries. Each method involves specific coordinate transformations. A method of solution akin to reducing the diffusion-convection equation to the heat equation is also applied to the Schrodinger equation.