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主题:量子力学论文写作 时间:2024-02-23

有界域上一维双极量子力学模型解的经典极限,这是一篇与量子力学论文范文相关的免费优秀学术论文范文资料,为你的论文写作提供参考。

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量子力学论文参考文献 双足和保健杂志双核期刊国学经典论文建筑模型论文

Abstract:We consider a onedimensional bipolar isentropic quantum hydrodynamical model from semiconductor devices.First,we discuss the classical limit of the stationary solution.Then we discuss the classical limit of the nonstationary initial boundary problem for a onedimensional case in a bounded domain.We show that the solutions to the quantum hydrodynamic model of semiconductors approaches that to the hydrodynamic model of semiconductors as the scaled Planck constants ε tends to zero.

Key words:bipolar; quantum hydrodynamic model; classical limit

CLC number: O 29 Document code: A Article ID: 10005137(2015)02011111

References:

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[2] JNGEL A.Quasihydrodynamic semiconductor equations,Progress in Nonlinear Differential Equations[M].Boston:Birkhuser,2001.

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[4] NISHBATA S,SUZUKI M.Asymptotic stability of a stationary solution to a hydrodynamic model of semiconductors[J].Math,2007,44:639-665.

[5] NISHBATA S,SUZUKI M.Asymptotic stability of a stationary solution to a thermal hydrodynamic model for semiconductors[J].Arch Ration Mech Anal,2008,244:836-874.

[6] NATALIN Iatalini R.The bipolar hydrodynamic model for semiconductors and the driftdiffusion equation[J].Math Anal Appl,1996,198:262-281.

[7] HSIAO L,ZHANG K J.The relaxation of the hydrodynamic model for semiconductors to the driftdiffusion equations[J].Differential Equations,2000,165:315-354.

[8] HSIAO L,ZHANG K J.The global weak solution and relaxation limits of the initial boundary value problem to the bipolar hydrodynamic model for semiconductors[J].Math Models Methods Appl Sci,2000,10:1333-1361.

[9] ZHU C,HATTORI H.Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species[J].Differential Equations,2000,166:1-32.

[10] LATTANZIO C.On the 3D bipolar isentropic EulerPoisson model for semiconductors and the driftdiffusion limit[J].Math Models Methods Appl Sci,2000,10:351-360.

[11] GASSER I,MARCATI P.The combined relaxation and vanishing Debye length limit in the hydrodynamic model for semiconductors[J].Math Meth Appl Sci,2001,24:81-92.

[12] GASSER I,HSIAO L,LI H L.Large time behior of solutions of the bipolar hydrodynamical model for semiconductors[J].Differential Equations,2003,192:326-359.

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