Piecewise-Continuous Nano-Worlds Online
Résumé
The familiar 1D barrier-tunneling problem, when converted to a trough-scattering problem instead, leads us to the strong-phase-object deBroglie phase-lag. This in turn reminds us of the exact Coulomb-scattering solution to the Schrödinger equation, and opens the door to real-time online electron-optic simulations with which students may discover: (a) ways to acquire and interpret data from modern multi-million dollar tools of electron-optics, (b) nano-characterization of matter on the atomic scale, (c) visualizations intermediate between direct and reciprocal space for harmonic-analysis of spatial-periodicities, and (d) important modern uses for crystal defects, including crystal surfaces themselves.
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