Constraints on the Reciprocal Propagation of a Quantum Particle Through a One-Dimensional Localized Complex Potential

Authors

Ethan Knox, Portland State University
P. T. Leung, Portland State UniversityFollow

Published In

Canadian Journal of Physics

Document Type

Citation

Publication Date

1-2013

Abstract

In the propagation of an electron through a one-dimensional asymmetric complex potential, it is known that while the conventional Green function reciprocity symmetry will ensure transmission to be symmetric between a “left-incident” and a “right-incident” beam, no such symmetry exists for the case of reflection. Here we derive generalized reciprocity relations for both the amplitude and phase of the reflected waves as constraints on the left- and right-incident beams, in complete analogy to what was established in optics. We further provide illustrations of these relations via direct analytical calculations in the case of a real potential, and via numerical studies in the case of a complex potential.

Locate the Document

https://doi.org/10.1139/cjp-2012-0459

DOI

10.1139/cjp-2012-0459

Persistent Identifier

https://archives.pdx.edu/ds/psu/26727

Citation Details

Knox, E. and Leung, P. T. (2013). Constraints on the Reciprocal Propagation of a Quantum Particle Through a One-Dimensional Localized Complex Potential. Canadian Journal of Physics 91(3): 246-250.