Analytic Wigner distribution function for a split potential well

K. L. Jensen, D. A. Shiffler, J. M. Riga, J. R. Harris, J. L. Lebowitz, M. Cahay, J. J. Petillo

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Abstract

The analytic Wigner function for a single well with infinite walls is extended to the configuration where half of the well is raised and the weighting of the wave functions is in accordance with a thermal Fermi-Dirac distribution. This requires a method for determining the energy eigenstates particularly near the height of the higher half-well. The methods provide a means for constructing analytic and accurate trajectories that can be used to model tunneling times. The fidelity of the trajectory model is assessed with respect to absorption of quanta related to changes within the allowable eigenstates.

Original languageEnglish (US)
Article number144301
JournalJournal of Applied Physics
Volume126
Issue number14
DOIs
StatePublished - Oct 14 2019

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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