ON THE LOW-FREQUENCY AND HIGH-FREQUENCY LIMIT OF QUANTUM SCATTERING BY TIME-DEPENDENT POTENTIALS

被引:15
作者
MARTIN, PA
DEBIANCHI, MS
机构
[1] Inst. de Phys. Theor., Ecole Polytech. Federale de Lausanne
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 08期
关键词
D O I
10.1088/0305-4470/28/8/030
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using time-dependent methods, we study the scattering of a quantum mechanical particle by short-range potentials with very slow or very fast periodic variations in time. The low- and high-frequency limits are derived as well as their first non-vanishing corrections, and their physical significance discussed.
引用
收藏
页码:2403 / 2427
页数:25
相关论文
共 26 条
[1]  
AMREIM W, 1981, NONRELATIVISTIC QUAN, V2
[2]  
AMREIN WO, 1987, ANN I H POINCARE-PHY, V47, P367
[3]   TRAVERSAL TIME FOR TUNNELING [J].
BUTTIKER, M ;
LANDAUER, R .
PHYSICAL REVIEW LETTERS, 1982, 49 (23) :1739-1742
[4]  
DOLLARD JD, 1966, J MATH PHYS, V7, P805
[5]  
GAVRILA M, 1984, PHYS REV LETT, V52, P6139
[6]  
GAVRILLA M, 1992, ATOMS INTENSE LASER
[7]   SCATTERING-THEORY FOR TIME-DEPENDENT HAMILTONIANS ASYMPTOTICALLY CONSTANT IN TIME [J].
GESZTESY, F ;
MITTER, H ;
PERUSCH, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 110 (01) :265-282
[8]   PERTURBATION METHOD FOR ATOMS IN INTENSE LIGHT BEAMS [J].
HENNEBERGER, WC .
PHYSICAL REVIEW LETTERS, 1968, 21 (12) :838-+
[9]  
HOLLOWAY S, 1990, INTERACTION ATOMS MO, P567
[10]   SCATTERING THEORY FOR HAMILTONIANS PERIODIC IN TIME [J].
HOWLAND, JS .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (03) :471-494