Interplay between a Gaussian wave packet and a non-reflecting potential analyzed using the wigner equation

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Deterministic solutions of the Wigner equation (WE) are used for describing the time evolution profiles of a Gaussian wave packet interacting with a square barrier, a square well, and a sech-squared well. The deterministic calculation shows that coherent Wigner and Schrödinger equations yield closely similar solutions. Especially, for the sech-squared well, also known as a nonreflecting potential, the acceleration effect and reverse diffusion of a Gaussian wave packet are reconfirmed by simulating the time-dependent WE. For the dissipative simulation, we considered three scattering terms, capturing energy dissipation, momentum randomization, and spatial decoherence. Our calculation shows that nonreflection is maintained when using the energy dissipation term but not when using either the momentum randomization or the spatial decoherence term. Momentum randomization disturbs the ordered movement of a propagating Gaussian wave packet, making nonreflection fundamentally impossible. Spatial decoherence introduces an additional diffusion effect, preventing nonreflection.
Publisher
American Scientific Publishers
Issue Date
2017-03
Language
English
Article Type
Article
Citation

Journal of Computational and Theoretical Nanoscience, v.14, no.3, pp.1329 - 1338

ISSN
1546-1955
DOI
10.1166/jctn.2017.6454
URI
http://hdl.handle.net/10203/244096
Appears in Collection
EE-Journal Papers(저널논문)
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