Inflow boundary conditions in quantum transport theory

VLSI Design

Volumn 9, Issue 4, 1999, Pages 385-396

  Lange, Horst ^a   Toomire, Bruce ^b   Zweifel, P F ^b  

^a UNIVERSITY OF COLOGNE   (Germany)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; LINEAR EQUATIONS; RELAXATION PROCESSES;

INFLOW BOUNDARY CONDITIONS; LINEAR STEADY-STATE WIGNER EQUATION; QUANTUM TRANSPORT THEORY;

QUANTUM THEORY;

EID: 0033355956     PISSN: 1065514X     EISSN: None     Source Type: Journal    
DOI: 10.1155/1999/84905     Document Type: Article

References (27)

1. Frensley, W. R. (1987). Phys. Rev., B36, 1570.
2. Shih, T.-T., Huang, H.-C. and Wu, G. Y. (1994). Phys. Rev., B50, 2399.
3. Drexler, H. et al. (1994). Phys. Rev. Lett., 73, 2252; Medeiros-Ribeiro, G. et al. (1994). Appl. Phys. Lett., 66, 1767.
4. Drexler, H. et al. (1994). Phys. Rev. Lett., 73, 2252; Medeiros-Ribeiro, G. et al. (1994). Appl. Phys. Lett., 66, 1767.
5. Zweifel, P. F. (1993). Trans. Theory Stat. Phys., 22, 459.
6. Brezzi, F. and Markowich, P. (1991). Math. Meth. Appl. Sci., 14, 35.
7. Illner, R., Lange, H. and Zweifel, P. F. (1994). Math. Analysis Appl. Sci., 17, 349.
8. Lange, H. and Zweifel, P. F. (1996). Nonlinear Analysis TMA, 26, 551.
9. Zweifel, P. F. and Bruce, Toomire (1997). Trans. Theory Stat. Phys., 26(4-5), 629-636.
10. Markowich, P. A., Ringhofer, C. A. and Schmeiser, C. (1990). Semiconductor Equations, Springer, Wien, p. 65.
11. Arnold, A. (1994). Math. Meth. Num. Anal., 7, 853-872; Ringhofer, C. Ferry, D. and Kluksdahl, N. (1989). Trans. Theory Stat. Phys., 18, 331.
12. Arnold, A. (1994). Math. Meth. Num. Anal., 7, 853-872; Ringhofer, C. Ferry, D. and Kluksdahl, N. (1989). Trans. Theory Stat. Phys., 18, 331.
13. Kluksdahl, N., et al. (1989). Phys. Rev., B39, 7720.
14. Markowich, P. A. and Ringhofer, C. A. (1989). ZAMM, 69, 121.
15. Degond, P. and Markowich, P. A. (1990). Math. Modelling Num. Analysis, 24, 695.
16. Ben Abdallah, N., Degond, P. and Markowich, P. A. (1997). ZAMP, 48, 135.
17. Arnold, A. (1995). "Self-consistent Relaxation-Time Models in Quantum Mechanics" Tech. Report, #263; "The Relaxation-Time Wigner Equation", Tech. Report, #254 (1994); Center for Appl. Math., Dept. of Math., Purdue University.
18. Arnold, A. (1995). "Self-consistent Relaxation-Time Models in Quantum Mechanics" Tech. Report, #263; "The Relaxation-Time Wigner Equation", Tech. Report, #254 (1994); Center for Appl. Math., Dept. of Math., Purdue University.
19. Bernstein, I. B., Greene, J. M. and Kruskal, M. D. (1957). Phys. Rev., 108, 546.
20. Lange, H., Toomire, B. and Zweifel, P. F. (1996). Trans. Theor Stat. Phys., 25, 713.
21. Buchanan, M. and Doming, J. J. (1993). Physics Lett. A, 179, 306; Buchanan, M. and Doming, J. J. (1993). Phys. Rev. Lett., 70, 3732.
22. Buchanan, M. and Doming, J. J. (1993). Physics Lett. A, 179, 306; Buchanan, M. and Doming, J. J. (1993). Phys. Rev. Lett., 70, 3732.
23. Ziman, J. M. (1962). Electron and Phonons, Oxford Press, London; Ashcroft, N. and Mermin, W. (1976). Solid State Physics, Saunders College, Philadelphia.
24. Ziman, J. M. (1962). Electron and Phonons, Oxford Press, London; Ashcroft, N. and Mermin, W. (1976). Solid State Physics, Saunders College, Philadelphia.
25. Pazy, A. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, Berlin.
26. Imre, K., et al. (1967). J. Math. Phys., 8, 1097.
27. Majorana, A. (1992). "Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semi-conductors". Preprint University of Catania.