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Numerical Methods for the Simulation of Quantum Devices Using the Wigner Function Approach

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Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 113))

Abstract

We discuss some aspects of the numerical solution of the pseudo differential equation describing the time evolution of the Wigner distribution function including the discretization of the transport operator and the choice of boundary conditions.

research supported by National Science Foundation Grant DMS 88-01-153

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References

  1. P. Degond: manuscript (1989)

    Google Scholar 

  2. B. Engquist, A. Majda: Math. Comp. 31, Nr. 139, pp629–651 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  3. D. Ferry, A. Kriman and C. Ringhofer: Phys. Rev. B, 39 pp.7720–7735 (1989)

    Article  Google Scholar 

  4. D. Ferry, N. Kluksdahl and C. Ringhofer: Transp. Th. and Stat. Phys., 18 (1989), pp.331–346.

    Article  MathSciNet  MATH  Google Scholar 

  5. C. Ringhofer: SIAM J. Num. ANal. 27 , pp.32–50 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  6. C. Ringhofer: submitted Siam J. Num. Anal. (1990)

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  7. M.E. Taylor: Comm. Pure Appl. Math. 28, pp457–478 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  8. E. Wigner: Phys. Rev. B, 40 (1932), pp. 749–756.

    Article  Google Scholar 

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© 1991 Springer Science+Business Media New York

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Ringhofer, C. (1991). Numerical Methods for the Simulation of Quantum Devices Using the Wigner Function Approach. In: Hess, K., Leburton, J.P., Ravaioli, U. (eds) Computational Electronics. The Springer International Series in Engineering and Computer Science, vol 113. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2124-9_41

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  • DOI: https://doi.org/10.1007/978-1-4757-2124-9_41

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5122-9

  • Online ISBN: 978-1-4757-2124-9

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