The transient response of a quantum wave to an instantaneous potential step switching

被引:8
作者
Delgado, F
Cruz, H
Muga, JG
机构
[1] Univ Basque Country, Dept Quim Fis, E-48080 Bilbao, Spain
[2] Univ La Laguna, Dept Fis Basica, E-38207 San Cristobal la Laguna, Spain
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 48期
关键词
D O I
10.1088/0305-4470/35/48/311
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The transient response of a stationary state of a quantum particle in a step potential to an instantaneous change in the step height (a simplified model for a sudden bias switch in an electronic semiconductor device) is solved exactly by means of a semianalytical expression. The characteristic times for the transient process up to the new stationary state are identified. A comparison is made between the exact results and an approximate method.
引用
收藏
页码:10377 / 10389
页数:13
相关论文
共 25 条
[1]   Moller operators and Lippmann-Schwinger equations for steplike potentials [J].
Baute, AD ;
Egusquiza, IL ;
Muga, JG .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (26) :5341-5353
[2]   Sources of quantum waves [J].
Baute, AD ;
Egusquiza, IL ;
Muga, JG .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (20) :4289-4299
[3]   Lead-orientation-dependent wave function scarring in open quantum dots [J].
Bird, JP ;
Akis, R ;
Ferry, DK ;
Vasileska, D ;
Cooper, J ;
Aoyagi, Y ;
Sugano, T .
PHYSICAL REVIEW LETTERS, 1999, 82 (23) :4691-4694
[4]   Transient and asymptotic effects in tunneling [J].
Brouard, S ;
Muga, JG .
PHYSICAL REVIEW A, 1996, 54 (04) :3055-3066
[5]  
Cohen L., 1995, TIME FREQUENCY ANAL
[7]   BOUNDARY-CONDITIONS FOR OPEN QUANTUM-SYSTEMS DRIVEN FAR FROM EQUILIBRIUM [J].
FRENSLEY, WR .
REVIEWS OF MODERN PHYSICS, 1990, 62 (03) :745-791
[8]   MANIFESTATIONS OF CLASSICAL CHAOS IN THE ENERGY-LEVEL SPECTRUM OF A QUANTUM-WELL [J].
FROMHOLD, TM ;
WILKINSON, PB ;
SHEARD, FW ;
EAVES, L ;
MIAO, J ;
EDWARDS, G .
PHYSICAL REVIEW LETTERS, 1995, 75 (06) :1142-1145
[9]   Time scale of forerunners in quantum tunneling -: art. no. 042119 [J].
García-Calderón, G ;
Villavicencio, J ;
Delgado, F ;
Muga, JG .
PHYSICAL REVIEW A, 2002, 66 (04) :6
[10]   Time dependence of the probability density in the transient regime for tunneling -: art. no. 012107 [J].
García-Calderón, G ;
Villavicencio, J .
PHYSICAL REVIEW A, 2001, 64 (01) :6