Department - Author 1
Physics Department
Degree Name - Author 1
BS in Physics
Date
11-2014
Primary Advisor
Thomas Gutierrez
Abstract/Summary
This project enumerates methods utilizing discretized centered-difference approximations on the second order differential equation for quantum particles known as Schrodinger’s Equation. An eigenvalue-eigenfunction scheme is developed to sieve for valid solutions to The Time Independent Schrodinger Equation. Additionally the Crank-Nicolson method is applied to the Time Dependent Schrodinger Equation to describe wavefunction (eigenfunction) time evolution. The validity of these methods is discussed with applications to several fundamental pedagogical introductory quantum mechanic systems.
URL: https://digitalcommons.calpoly.edu/physsp/119
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