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Playing Quantum Physics Jeopardy with zero-energy eigenstates

Quantum Physics 2009-11-13 v1 Physics Education

Abstract

We describe an example of an exact, quantitative Jeopardy-type quantum mechanics problem. This problem type is based on the conditions in one-dimensional quantum systems that allow an energy eigenstate for the infinite square well to have zero curvature and zero energy when suitable Dirac delta functions are added. This condition and its solution are not often discussed in quantum mechanics texts and have interesting pedagogical consequences.

Keywords

Cite

@article{arxiv.quant-ph/0606196,
  title  = {Playing Quantum Physics Jeopardy with zero-energy eigenstates},
  author = {L. P. Gilbert and M. Belloni and M. A. Doncheski and R. W. Robinett},
  journal= {arXiv preprint arXiv:quant-ph/0606196},
  year   = {2009}
}

Comments

8 pages, 3 figures, requires graphicx and epsfig packages. Additional information, including individual files containing the Worksheet and a Worksheet template, are available at http://webphysics.davidson.edu/mjb/jeopardy/