Free Access
| Issue |
ESAIM: M2AN
Volume 28, Number 7, 1994
|
|
|---|---|---|
| Page(s) | 853 - 872 | |
| DOI | https://doi.org/10.1051/m2an/1994280708531 | |
| Published online | 31 January 2017 | |
- A. ARNOLD, P. A. MARKOWICH, N. MAUSER, 1991, The one-dimensional periodic Bloch-Poisson equation, M3AS, 1, 83-112. [MR: 1105009] [Zbl: 0828.34073] [Google Scholar]
- A. ARNOLD, C. RINGHOFER, 1995, An operator splitting method forthe Wigner-Poisson problem, to appear in SIAM J. Num. Anal. [MR: 1360463] [Zbl: 0860.65143] [Google Scholar]
- F. A. BUOT, K. L. JENSEN, 1990, Lattice Weyl-Wigner formulation of exact many-body quantum-transport theory and applications to novel solid-state quantum-based devices, Phys. Rev. B., 42, 9429-9457. [Google Scholar]
- M. CESSENAT, 1985, Théorèmes de trace pour des espaces de fonctions de la neutronique, C. R. Acad. Sc. Paris, tome 300, série I, n° 3, 89-92. [MR: 777741] [Zbl: 0648.46028] [Google Scholar]
- P. DEGOND, P. A. MARKOWICH, 1990, A quantum transport model for semiconductors : the Wigner-Poisson problem on a bounded Brillouin zone, Modélisation Mathématique et Analyse Numérique, 24, 697-710. [EuDML: 193612] [MR: 1080715] [Zbl: 0742.35046] [Google Scholar]
- B. ENGQUIST, A. MAJDA, 1977, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., 31, 629-651. [MR: 436612] [Zbl: 0367.65051] [Google Scholar]
- W. R. FRENSLEY, 1987, Wigner function model of a resonant-tunneling semiconductor device, Phys. Rev. B, 36, 1570-1580. [Google Scholar]
- T. HA-DUONG, P. JOLY, 1990, On the stability analysis of boundary conditions for the wave equation by energy methods, Part I: The homogeneous case, Rapports de Recherche 1306, INRIA. [Zbl: 0829.35063] [Google Scholar]
- L. HALPERN, J. RAUCH, 1987, Error analysis for absorbing boundary conditions, Numer. Math., 51, 459-467. [EuDML: 133206] [MR: 902101] [Zbl: 0656.35076] [Google Scholar]
- N. KLUKSDAHL, A. M. KRIMAN, D. K. FERRY, C. RINGHOFER, 1989, Selfconsistent study of the resonant tunneling diode, Phys. Rev. B., 39, 7720-7735. [Google Scholar]
- H. O. KREISS, 1970, Initial boundary value problems for hyperbolic Systems, Comm. Pure Appl. Math., 23,277-298. [MR: 437941] [Zbl: 0193.06902] [Google Scholar]
- H. O. KREISS, J. LORENZ, 1989, Initial-Boundary Value Problems and the Navier-Stokes Equations, Academic Press, San Diego. [MR: 998379] [Zbl: 0689.35001] [Google Scholar]
- P. A. MARKOWICH, C. RINGHOFER, 1989, An analysis of the quantum Liouville equation, Z. angew. Math. Mech., 69, 121-127. [MR: 990011] [Zbl: 0682.46047] [Google Scholar]
- P. A. MARKOWICH, C. RINGHOFER, C. SCHMEISER, 1990, Semiconductor Equations, Springer-Verlag, Wien, New York. [MR: 1063852] [Zbl: 0765.35001] [Google Scholar]
- F. NIER, 1993, Asymptotic analysis of a scaled Wigner equation and quantum scattering, To appear in M3AS. [Zbl: 0870.45003] [Google Scholar]
- C. RINGHOFER, D. FERRY, N. KLUKSDAHL, 1989, Absorbing boundary conditions for the simulation of quantum transport phenomena, Transport Theory and Statistical Physics, 18, 331-346. [MR: 1026635] [Zbl: 0703.35163] [Google Scholar]
- D. ROBERT, 1987, Autour de l'Approximation Semi-classique, Birkhauser, Boston. [MR: 897108] [Zbl: 0621.35001] [Google Scholar]
- M. A. SHUBIN, 1987, Pseudodifferential Operators and Spectral Theory, Springer-Verlag, Berlin, Heidelberg. [MR: 883081] [Zbl: 0616.47040] [Google Scholar]
- H. STEINRÜCK, 1991, The one-dimensional Wigner-Poisson problem and its relation to the Schrödinger-Poisson problem, SIAM J. Math. Anal., 22, 957-972. [MR: 1112058] [Zbl: 0738.35077] [Google Scholar]
- V. I. TATARSKII, 1983, The Wigner representation of quantum mechanics, Sov. Phys. Usp., 26, 311-327. [MR: 730012] [Google Scholar]
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