Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation;Conditions aux limites entrantes pour l'équation de Schrödinger unidimensionnelle dans le régime transitoire

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 331, Issue 12, 2000, Pages 1023-1028

  Ben Abdallah, Naoufel ^a   Degond, Pierre ^a   Gamba, Irène ^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: 0034670471     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)01759-6     Document Type: Article

References (8)

1. [1] Ben Abdallah N., A hybrid kinetic-quantum model for stationary electron transport, J. Statis. Phys. 90 (3-4) (1998) 627-662.
2. [2] Ben Abdallah N., Degond P., Gamba I., (in preparation).
3. [3] Ben Abdallah N., Degond P., Markowich P., On a one-dimensional Schrödinger-Poisson scattering model, ZAMP 48 (1997) 135-155.
4. [4] Bohm D., Quantum Theory, Dover, 1989.
5. [5] Gérard P., Mauser N., Markowich P., Mauser N., Homogenization limits and Wigner transforms, Commun. Pure Appl. Math. 50 (4) (1997) 323-379.
6. [6] Lions P.-L., Paul T., Sur les mesures de Wigner, Rev. Math. Iberoamer. 9 (1993) 553-618.
7. [7] Messiah A., Mécanique Quantique, Tomes 1, 2, Dunod, Paris, 1995.
8. [8] Wigner E.P., On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40 (1932) 749-759.