Of all subjects, quantum mechanics is arguably the one that can benefit the most from integration of computation into the curriculum. Unlike classical mechanics or electromagnetism, quantum mechanics has only few time-independent problems, countable with one hand, that are analytically solvable. There are virtually no time-dependent problems with analytic solutions. This poses a clear challenge to helping students in introductory quantum mechanics in understanding the concepts and developing intuition or insights. Even for the straightforward analysis of two states in a superposition, the bedrock of quantum mechanics, it is hardly possible to follow the time evolution without the use of computation. In this presentation we discuss the integration of computation in an otherwise traditional undergraduate quantum mechanics course to deal with the challenge. Activities (see http://www.faculty.umassd.edu/j.wang/) include simple visualization of superposition, quantum revival, determination of eigenstates, wave packet motion, and screened hydrogen atoms.

Insights from computation in quantum mechanics

Computation has much to offer in terms of teaching quantum mechanics. In this presentation we give specific examples of use of computation in quantum mechanical problems. We also discuss standard toolkits either well-known, used in research or found in software libraries, and not-so-standard tools one can implement themselves. Examples utilizing numerical and visualization techniques for solving time-dependent and time-independent quantum systems will be discussed (see also http://www.faculty.umassd.edu/j.wang/) including superposition, scattering flux, eigenstates in periodic structures, evolution of uncertainties, and quantum dots.

Computational toolkits in quantum mechanics

PAR-E.02  Effective Practices in Educational Technologies II

technical paper

The 2020 AAPT Virtual Summer Meeting brought together physics educators from around the globe to learn about the latest in physics theory, research methodology and education from leaders in their field. The program featured plenary speakers, sessions, workshops and many special activities.

For more information please visit the 2020 AAPT Virtual Summer Meeting page at: https://www.aapt.org/Conferences/SM2020/index.cfm.


AAPT SM 20

The 2020 AAPT Virtual Summer Meeting brought together physics educators from around the globe to learn about the latest in physics theory, research methodology and education from leaders in their field. 

Jay Wang

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Insights from computation in quantum mechanics

Computational toolkits in quantum mechanics

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