Coupling one-dimensional time-dependent classical and quantum transport models

Journal of Mathematical Physics

Volumn 43, Issue 1, 2002, Pages 1-24

  Ben Abdallah, N ^a   Degond, P ^a   Gamba, I M ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036033113     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1421635     Document Type: Article

References (25)

1. N. Ben Abdallah, J. Stat. Phys. 90, 627 (1998).
2. N. Ben Abdallah, P. Degond, and P.A. Markowich, ZAMP 48, 135 (1997).
3. N. Ben Abdallah, P. Degond, and P.A. Markowich, Nonlinear Anal. 31, 629 (1998).
4. C. Lent and D. Kirkner, J. Appl. Phys. 67, 6353 (1990).
5. N. Ben Abdallah, J. Math. Phys. 41, 2241 (2000).
6. P. Mounaix, O. Vanbésien, and D. Lippens, Appl. Phys. Lett. 57, 1517 (1990).
7. O. Vanbésien and D. Lippens, Appl. Phys. Lett. 65, 2439 (1994).
8. W.R. Frensley, Rev. Mod. Phys. 62, 745 (1990).
9. W.R. Frensley, Phys. Rev. B 36, 1570 (1987).
10. C. Ringhofer, D.K. Ferry, and N.C. Kluksdahl, Trans. Theor. Statist. Phys. 18, 331 (1989).
11. A. Arnold, VLSI Design 6, 313 (1998).
12. L. Di Menza, Numer. Funct. Anal. Optim. 18, 759 (1997).
13. N. Ben Abdallah, P. Degond, and I. Gamba, in preparation.
14. N. Ben Abdallah, P. Degond, and I. Gamba, C.R. Acad. Sci., Ser. I: Math. 331, 1023 (2000).
15. N. Ben Abdallah, P. Degond, A. Mellet, and F. Poupaud, "Electron transport in semiconductor superlattices," to appear in Quart. Appl. Math.
16. P. Degond and S. Mancini, Asymptotic Anal. 27, 47 (2001).
17. A. Messiah, Mécanique Quantique (Dunod, Paris, 1995).
18. S. Agmon, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 411, 679 (1975).
19. F. Schwabl, Quantum Mechanics (Springer-Verlag, Berlin, 1993).
20. E.P. Wigner, Phys. Rev. 40, 749 (1932).
21. P.L. Lions and T. Paul, Rev. Math. Iberoamericana 9, 553 (1993).
22. P. Gérard, P.A. Markowich, N.J. Mauser, and F. Poupaud, Commun. Pure Appl. Math. L, 323 (1997).
23. P. Gérard, "Mesures semiclassiques et ondes de bloch" Sémin. Equ. Dériv. Partielles, 1990.
24. P.A. Markowich and N.J. Mauser, Math. Meth. Mod. 16, 409 (1993).
25. P.A. Markowich, N.J. Mauser, and F. Poupaud, J. Math. Phys. 35, 1066 (1994).