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Volumn 48, Issue 1, 1997, Pages 135-155

On a one-dimensional Schrödinger-Poisson scattering model

Author keywords

Current carrying state; Inflow boundary condition; Quantum phenomena; Semiclassical unit; Vlasov equation; Wigner transform

Indexed keywords


EID: 0031538201     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/pl00001463     Document Type: Article
Times cited : (81)

References (20)
  • 1
    • 0000322772 scopus 로고
    • On absorbing boundary conditions for quantum transport equations
    • A. Arnold, On absorbing boundary conditions for quantum transport equations, M2AN, 28, 7, (1994), 853-872.
    • (1994) M2AN , vol.28 , Issue.7 , pp. 853-872
    • Arnold, A.1
  • 2
    • 0028423207 scopus 로고
    • Weak solutions of the initial-boundary value problem for the Vlasov-Poisson System
    • N. Ben Abdallah, Weak solutions of the initial-boundary value problem for the Vlasov-Poisson System, Math. Meth. in the Appl. Sci., 17, (1994), 451-476.
    • (1994) Math. Meth. in the Appl. Sci. , vol.17 , pp. 451-476
    • Ben Abdallah, N.1
  • 5
    • 0025566458 scopus 로고
    • Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge
    • Ph. Caussignac, B. Zimmermann and R. Ferro, Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge, Computing 45 (1990), 241-264.
    • (1990) Computing , vol.45 , pp. 241-264
    • Caussignac, Ph.1    Zimmermann, B.2    Ferro, R.3
  • 6
    • 84974747842 scopus 로고
    • An asymptotic analysis of the one-dimensional vlasov-poisson system: The child-langmuir law
    • P. Degond and P. A. Raviart, An Asymptotic Analysis of the One-Dimensional Vlasov-Poisson System: The Child-Langmuir Law, Asymptotic Analysis 4 (1991), 187-214.
    • (1991) Asymptotic Analysis , vol.4 , pp. 187-214
    • Degond, P.1    Raviart, P.A.2
  • 7
    • 5344232385 scopus 로고
    • Boundary conditions for open quantum systems driven far from equilibrium
    • W. R. Frensley, Boundary conditions for open quantum systems driven far from equilibrium, Reviews of Modern Physics, 62 (1990), 745-791.
    • (1990) Reviews of Modern Physics , vol.62 , pp. 745-791
    • Frensley, W.R.1
  • 8
    • 84990617041 scopus 로고
    • A boundary value problem for the stationary Vlasov-Poisson equations: The plane diode
    • C. Greengard and P. A. Raviart, A boundary value problem for the stationary Vlasov-Poisson equations: The plane diode, Comm. Pure Appl. Math. 43 (1990), 473-507.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 473-507
    • Greengard, C.1    Raviart, P.A.2
  • 9
    • 34250076403 scopus 로고
    • Global weak solutions of the Vlasov-Maxwell system with boundary conditions
    • Y. Guo, Global weak solutions of the Vlasov-Maxwell system with boundary conditions, Com. Math. Phys. 159 (1993), 245-203.
    • (1993) Com. Math. Phys. , vol.159 , pp. 245-1203
    • Guo, Y.1
  • 10
    • 2842549616 scopus 로고
    • The quantum transmitting boundary method
    • C. Lent and D. Kirkner, The quantum transmitting boundary method, J. Appl. Phys. 67 (1990), 6353-6359.
    • (1990) J. Appl. Phys. , vol.67 , pp. 6353-6359
    • Lent, C.1    Kirkner, D.2
  • 12
    • 0000269855 scopus 로고
    • The classical limit of a sclfconsistent quantum-Vlasov equation in 3-D
    • P. A. Markowich and N. J. Mauser, The classical limit of a sclfconsistent quantum-Vlasov equation in 3-D. Math. Meth. Mod. 16 (1993), 409-442.
    • (1993) Math. Meth. Mod. , vol.16 , pp. 409-442
    • Markowich, P.A.1    Mauser, N.J.2
  • 13
    • 36449006348 scopus 로고
    • A Wigner function approach to semiclassical limits: Electrons in a periodic potential
    • P. A. Markowich, N. J. Mauser and F. Poupaud, A Wigner function approach to semiclassical limits: electrons in a periodic potential, J. Math. Phys. 35 (1994), 1060-1094.
    • (1994) J. Math. Phys. , vol.35 , pp. 1060-1094
    • Markowich, P.A.1    Mauser, N.J.2    Poupaud, F.3
  • 15
    • 84947517811 scopus 로고
    • A variational formulation of Schrödinger-Poisson systems in dimension d ≤ 3
    • F. Nier, A variational formulation of Schrödinger-Poisson systems in dimension d ≤ 3, Comm. Part. Diff. Equations 18 (1993), 1125-1147.
    • (1993) Comm. Part. Diff. Equations , vol.18 , pp. 1125-1147
    • Nier, F.1
  • 16
    • 0000680861 scopus 로고
    • Boundary value problems for the stationary Vlasov-Maxwell system
    • F. Poupaud, Boundary value problems for the stationary Vlasov-Maxwell system, Forum Mathematicum 4 (1992), 499-527.
    • (1992) Forum Mathematicum , vol.4 , pp. 499-527
    • Poupaud, F.1
  • 18
    • 84956359338 scopus 로고
    • Absorbing boundary conditions for the simulation of quantum transport phenomena
    • C. Ringhofer, D. Ferry and N. Kluksdahl, Absorbing boundary conditions for the simulation of quantum transport phenomena, Trans. Theo. Stat. Phys. 18 (1989), 331-346.
    • (1989) Trans. Theo. Stat. Phys. , vol.18 , pp. 331-346
    • Ringhofer, C.1    Ferry, D.2    Kluksdahl, N.3
  • 19
    • 0001064787 scopus 로고
    • Theoretical analysis of a branch line quantum directional coupler
    • O. Vanbésien and D. Lippens, Theoretical analysis of a branch line quantum directional coupler, Appl. Phys. Lett. 65 (1994), 2439-2441.
    • (1994) Appl. Phys. Lett. , vol.65 , pp. 2439-2441
    • Vanbésien, O.1    Lippens, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.