For pedagogical purposes, numerical integration methods are applied to a simple eigenvalue problem in quantum mechanics. Computer programming of the problem is discussed, the effect of different choices of initial conditions is mentioned, and the sensitivity of the method, to the difference interval width is discussed.
Proceedings of the Iowa Academy of Science
©1964 Iowa Academy of Science, Inc.
Adams, Richard D.; Ganfield, Edgar; and Sprouse, Gerald
"Numerical Integration of Schroedinger's Equation for a Square Well Potential Using an IBM 1620 Computer,"
Proceedings of the Iowa Academy of Science, 71(1), 392-398.
Available at: https://scholarworks.uni.edu/pias/vol71/iss1/57