SEMICONDUCTOR BLOCH EQUATIONS IN A HOMOGENEOUS MAGNETIC-FIELD

被引:17
作者
GLUTSCH, S [1 ]
CHEMLA, DS [1 ]
机构
[1] UNIV CALIF BERKELEY, LAWRENCE BERKELEY LAB, DIV MAT SCI, BERKELEY, CA 94720 USA
来源
PHYSICAL REVIEW B | 1995年 / 52卷 / 11期
关键词
D O I
10.1103/PhysRevB.52.8317
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a rigorous derivation of the semiconductor Bloch equations (SBE) in a uniform magnetic field. The equation of motion for the density matrix is derived, including Coulomb interaction. We show that both in real space and momentum space the center of mass and relative coordinate motions separate exactly to all orders. Generalizations of the convolution and of the Fourier transform can be defined which allows us to establish the SBE in complete analogy to the field-free case.
引用
收藏
页码:8317 / 8322
页数:6
相关论文
共 25 条
[1]   2-BAND DENSITY-MATRIX THEORY - THE EFFECT OF EXTERNAL FIELDS ON TRANSITION AND TRANSPORT PROCESSES [J].
BUFLER, FM ;
SCHLOSSER, J .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1994, 6 (36) :7445-7460
[2]  
CARTER BJ, 1969, J MATH PHYS, V10, P4
[3]  
ELLIOTT RJ, 1957, PHYS REV, V108, P1324
[4]   PARAMETRIZATION OF S-MAGNETOEXCITON AND P-MAGNETOEXCITON IN QUANTUM-WELLS [J].
ENGBRING, J ;
ZIMMERMANN, R .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1992, 172 (02) :733-746
[5]   FANO RESONANCES DUE TO COUPLED MAGNETOEXCITON AND CONTINUUM STATES IN BULK SEMICONDUCTORS [J].
GLUTSCH, S ;
SIEGNER, U ;
MYCEK, MA ;
CHEMLA, DS .
PHYSICAL REVIEW B, 1994, 50 (23) :17009-17017
[6]   SPATIOTEMPORAL DYNAMICS OF PHOTON-ECHOES FROM CONTINUUM STATES IN SEMICONDUCTORS [J].
GLUTSCH, S ;
SIEGNER, U ;
CHEMLA, DS .
PHYSICAL REVIEW B, 1995, 52 (07) :4941-4950
[7]  
GORKOV LP, 1968, SOV PHYS JETP, V26, P217
[8]  
GRADSTEIN IS, 1981, SUMMEN PRODUKT INTEG
[9]   FEMTOSECOND COHERENT SPECTROSCOPY OF GAAS QUANTUM-WELLS [J].
KIM, DS ;
SHAH, J ;
SCHAFER, W ;
SCHMITTRINK, S .
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 1992, 173 (01) :11-20
[10]   FINE STRUCTURE OF THE HYDROGEN ATOM .3. [J].
LAMB, WE .
PHYSICAL REVIEW, 1952, 85 (02) :259-276