Journal of Computational Electronics

, Volume 14, Issue 4, pp 888–893 | Cite as

The Wigner equation in the presence of electromagnetic potentials

  • Mihail Nedjalkov
  • Josef Weinbub
  • Paul Ellinghaus
  • Siegfried Selberherr
S.I. : Wigner functions


An analysis of the possible formulations of the Wigner equation under a general gauge for the electric field is presented with an emphasis on the computational aspects of the problem. The numerical peculiarities of those formulations enable alternative computational strategies based on existing numerical methods applied in the Wigner formalism, such as finite difference or stochastic particle methods. The phase space formulation of the problem along with certain relations to classical mechanics offers an insight about the role of the gauge transforms in quantum mechanics.


Wigner function Electromagnetic potentials Gauge transform 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Mihail Nedjalkov
    • 1
  • Josef Weinbub
    • 1
  • Paul Ellinghaus
    • 1
  • Siegfried Selberherr
    • 1
  1. 1.Institute for MicroelectronicsTU WienViennaAustria

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