Analytic Wigner distribution function for tunneling and trajectory models
Abstract
The Wigner function is assembled from analytic wave functions for a one-dimensional closed system (well with infinite barriers). A sudden change in the boundary potentials allows for the investigation of time-dependent effects in an analytically solvable model. A trajectory model is developed to account for tunneling when the barrier is finite. The behavior of the density (the zeroth moment of the Wigner function) after an abrupt change in potential shows net accumulation and depletion over time for a weighting of energy levels characteristic of the supply function in field emission. However, for a closed system, the methods have application to investigations of tunneling and transmission associated with field and photoemission at short time scales.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 19, 2019
- Source ID
- 10.1063/1.5086434
Entities
People
- D. Shiffler
- J. L. Lebowitz
- John Petillo
- Kevin L. Jensen
- M. Cahay
Organizations
- Air Force Office of Scientific Research
- Air Force Research Laboratory
- Rutgers University
- United States Naval Research Laboratory
- University of Cincinnati