QUANTUM HYDRODYNAMIC MODELS IN SEMICONDUCTOR CRYSTALS

被引：5

作者：

POUPAUD, F ^{[1
]}

RINGHOFER, C ^{[1
]}

机构：

[1] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 06期

关键词：

SCHRODINGER EQUATIONS; WIGNER FUNCTIONS; SEMICLASSICAL MODELS; SEMICONDUCTORS; QUANTUM HYDRODYNAMICS;

D O I：

10.1016/0893-9659(95)00085-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive the Schrodinger and the Wagner equations for electrons in a crystal in the presence of an external force via spectral projection techniques. It is shown that the mixing of energy bands, due to the external force, can be treated as a small perturbation. The corresponding single state fluid dynamical equation, the quantum hydrodynamical model in a crystal, is derived.

引用

页码：55 / 59

页数：5

共 6 条

[1]

ASHCROFT NW, 1967, SOLID STATE PHYSICS

[2] THE QUANTUM HYDRODYNAMIC MODEL FOR SEMICONDUCTOR-DEVICES [J].