Boundaries and profiles in the Wigner formalismo

Dias, N. C.; Prata, J. N.

http://hdl.handle.net/10400.26/57854

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Authors

Dias, N. C.

Prata, J. N.

Abstract(s)

We consider a quantum device contained in an interval in the context of the Weyl–Wigner formalism. This approach was originally suggested by Frensley and is known to be plagued with several problems, such as non-physical and non-unique solutions. We show that some of these problems may be avoided if one writes the correct dynamical equation. This requires the (non-local) infuence of the potential outside of the device and the inclusion of singular boundary potentials. We also discuss the problem of imposing boundary conditions on the Wigner function that mimic the efect of the external environment. We argue that these conditions have to be chosen with extreme care, as they may otherwise lead to non-physical solutions

Keywords

Wigner functions Quantum devices Boundary potentials Boundary conditions Quantum dynamics

URI

http://hdl.handle.net/10400.26/57854

Citation

Dias, N.C., Prata, J.N. Boundaries and profiles in the Wigner formalism. J Comput Electron 20, 2020-2038 (2021). https://doi.org/10.1007/s10825-021-01803-7