The relaxation-time von Neumann-Poisson equation

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 293-296

  Arnold, A ^a,b  

^a PURDUE UNIVERSITY   (United States)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444460582     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. ARNOLD A.: The relaxation-time Wigner equation; Technical Report #254, Center for Applied Mathematics, Purdue University, October 1994;
2. to appear in proceedings of the workshop on 'Mathematical Problems in Semiconductor Physics', Rome 1993, Pitman Research Notes in Mathematics, 1995.
3. ARNOLD A.: Self-consistent relaxation-time models in quantum mechanics; to appear in Comm. PDE (1995).
4. BREZZI F., MARKOWICH P. A.: The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation; Math. Meth. Appl. Sci. 14 (1991), 35-61.
5. DAUTRAY R., LIONS J. L.: Mathematical Analysis and Numerical Methods for Science and Technology 5, Springer-Verlag, Berlin, New York 1992.
6. DIOSI L., GISIN N., HALLIWELL J., PERCIVAL I.: Decoherent histories and quantum state diffusion; Phys. Rev. Lett. 74 (1995), 203-207.
7. FERRY D., GRUBIN H.: Quantum transport in semiconductor devices; to appear in Solid State Physics, Academic Press, NY.
8. KLUKSDAHL N., KRIMAN A. M., FERRY D. K., RINGHOFER C.: Self-consistent study of the resonant tunneling diode; Phys. Rev. B 39 (1989), 7720-7735.
9. KOHN W., SHAM L. J.: Self-consistent equations including exchange and correlation effects; Phys. Rev. 140 (1965), 1133-1138.
10. LINDBLAD G.: On the generators of quantum dynamical semigroups; Comm. Math. Phys. 48 (1976), 119-130.
11. LIONS P. L., PAUL T.: Sur les mesures de Wigner; Rev. Math. Iberoam. 9 (1993), 553-618.
12. MARKOWICH P. A., RINGHOFER C., SCHMEISER C.: Semiconductor Equations, Springer Verlag, Wien, New York 1990.
13. NIER F.: Schrödinger-Poisson systems in dimension d ≤ 3, the whole-space case; Preprint #265, Centre de Mathématiques Appliquées, Ecole Polytechnique, France, 1992.