收藏本站
收藏 | 手机打开
二维码
手机客户端打开本文

Existence and Uniqueness of Solutions to a Class of Quantum Hydrodynamic Model for Semiconductors

【摘要】:正In recent years,people begin to concern all kinds of mathematical models for the ultra-small semiconductor systems in physics and quantum theory.Those models include the macroscope and microscope quantum models.The microscope quantum model,which deals with the quantum technology,involves Wigner Equation,Shrodinger-Poinsson Equation etc.The so-called quantum hydrodynamic model(QHD) includs macroscope physical quantities like electron density and current density and it is used in the quantum semiconductor device such as the resonance diode.Thus QHD model has played an important role in the mathematical fields.This paper is concerned with a steady-state quantum hydrodynamic model with the Dirichlet boundary conditions for the electron density and the potential in the isentropic case.The model includes a quantum Bohm potential and a forcing term in the developing system.The electric current density and the particle density are coupled to the Poisson equation.The existence and uniqueness are obtained for a classical positive solution if the electron density is small and no weak solution can exist for a large data.The proofs are based on a reformation of the equations,Leray-Schauder's fixed point theorem and a truncation technique.

知网文化
【相似文献】
中国期刊全文数据库 前20条
1 李茂泉;热力学势函数的超几何对称性[J];文山师范高等专科学校学报;1996年01期
2 ;物理学报 第34卷 1985年 总目录[J];物理学报;1985年12期
3 ;物理学报 第4O卷 1991年 总目录[J];物理学报;1991年12期
4 ;物理学报第24卷1975年总目录[J];物理学报;1975年06期
5 ;物理学报 第25卷 1976年 总目录[J];物理学报;1976年06期
6 ;物理学进展 第2卷 总目录[J];物理学进展;1982年04期
7 ;物理学报第35卷1986年总目录[J];物理学报;1986年12期
8 ;物理学报 第41卷 1992年 总目录[J];物理学报;1992年12期
9 ;电子科学学刊第13卷1991年总目次[J];电子与信息学报;1991年06期
10 樊任军,张恩;扩张的Jelliume Model与e—p耦合[J];高师理科学刊;1992年03期
11 苏志军,严家,曾向东,尚德敏;A Multi-Square-Well Potential Model and Its Application in Calculating the Second Virial Coefficient[J];Journal of Harbin Institute of Technology;1994年02期
12 ;应用科学学报1992年(第十卷)总目录[J];应用科学学报;1992年04期
13 ;Comparative Analysis of Some Representative Models of Viscosity Versus Pressure in the Case of Various Hydrocarbons and Their Mixtures[J];热科学学报(英文版);1996年01期
14 ;Nucleate Pool Boiling of Pure Liquids and Binary Mixtures:Part Ⅱ-Analytical Modelfor Boiling Heat Transfer of Binary Mixtureson Smooth Tubes and Comparison of Analytical Models for both Pure Liquids and Binary Mixture[J];热科学学报(英文版);1996年03期
15 ;Calculation Program of Exciton Model for Transmission Equation of Exciton State Intensity Distribution[J];近代物理研究所和兰州重离子加速器国家实验;1995年00期
16 ;Interpretation of Excess Power in Terms of Quasi-atom Multibody Exoergic Models[J];近代物理研究所和兰州重离子加速器国家实验;1995年00期
17 ;Block Method Neutron Transport Calculation on x-y Geometry With Three-subregion Cell Model[J];中国原子能科学研究院年报;1996年00期
18 ;Study of Interaction Cross Section for ~(11)Li Induced Reaction via QMD Model[J];近代物理研究所和兰州重离子加速器国家实验;1994年00期
19 ;Theory and Numerical Study on Three Dimensional Discrete Transfer Radiation Model[J];热科学学报(英文版);1994年04期
20 ;Two-body Correlation Transport Theory for Heavy Ion Collision Ⅰ. Theory Model and Construction of Single Particle States[J];近代物理研究所和兰州重离子加速器国家实验;1995年00期
中国重要会议论文全文数据库 前10条
1 ;Existence and Uniqueness of Solutions to a Class of Quantum Hydrodynamic Model for Semiconductors[A];Proceedings of 2010 Chinese Control and Decision Conference[C];2010年
2 ;From Brane to Minimal Supersymmetric Standard Model[A];Integrable System--Proceedings of CCAST (World Laboratory) Workshop[C];1999年
3 Takaharu Otsuka;;Nuclear Shell Model[A];Summer School on Subatomic Physics '99--Proceedings of CCAST (World Laboratory) Workshop[C];1999年
4 ;Integrable One-Dimensional SU(3) Hubbard Model with Velocity-Dependent Interaction[A];Integrable System--Proceedings of CCAST (World Laboratory) Workshop[C];1999年
5 ;Estimating the Ultimate Bound for the Generalized Quadratic Autonomous Chaotic Systems[A];第二十九届中国控制会议论文集[C];2010年
6 ;Chiral Quark Model with Topological Ghost[A];Cluster Radioactivity, Fission, Fusion and the Superheavy Nuclei--Proceedings of CCAST (World Laboratory) Workshop[C];2000年
7 杨志华;;Rigorous solution of Quantum Ising model(S=1)[A];2007“与统计有关的凝聚态物理中一些数值计算问题”研讨会论文集[C];2007年
8 ;Dibaryon Systems in Chiral SU(3) Quark Model1[A];Baryon, Dibaryon and Exotic Quark-Gluon States--Proceeding of CCAST (World Laboratory) Workshop[C];2002年
9 Qiu (?) Sterman;;Factorigation for Heavy Quarkonium Production[A];Progress in Perturbative QCD and Applications(Ⅲ)--Proceedings of CCAST (World Laboratory) Workshop[C];2001年
10 ;N Annihilation to two Mesons and N Bound States in Nonrelativistic Quark Model[A];Baryon Structure and Baryon Interaction--Proceedings of CCAST (World Laboratory) Workshop[C];2001年
中国硕士学位论文全文数据库 前2条
1 李志峰;两个Higgs粒子二重态的H~+→t(?)衰变在ModelⅡ与ModelⅢ下的单圈修正[D];重庆大学;2003年
2 鲁希锋;应用推广的QDCSM模型计算NN散射相移[D];南京师范大学;2002年
中国知网广告投放
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62982499
  • 010-62783978