Integrating Computation into a Spin First Undergraduate Quantum Mechanics Course

Abstract

I will describe a first attempt to build computation into the undergraduate quantum mechanics course at High Point University. In a spin first approach, students uncover the postulates of quantum mechanics entirely in the context of spin-1/2 degrees of freedom before developing position-space wave function technology needed to study the standard array of potential wells. This non-standard approach to teaching quantum mechanics is particularly well suited for the integration of computation. In addition to presenting several examples of how integrated computational exercises can aid in student understanding of key ideas in quantum mechanics, I will share some possible independent projects involving advanced topics which are accessible to students well versed in the basic computational methods used to investigate spin.