LEVINSONS THEOREM, ZERO-ENERGY RESONANCES, AND TIME-DELAY IN ONE-DIMENSIONAL SCATTERING SYSTEMS

被引:75
作者
DEBIANCHI, MS
机构
[1] Institut de Physique Théorique, Ecole Polytechnique Fédérale de Lausanne
关键词
D O I
10.1063/1.530481
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The one-dimensional Levinson's theorem is derived and used to study zero-energy resonances in a double-potential system. The low energy behavior of time delay is also investigated. In particular, it is shown that the quantum mechanical time delay admits a classical lower bound, in the low energy limit, if the potential has no bound-state solutions.
引用
收藏
页码:2719 / 2733
页数:15
相关论文
共 15 条
[1]   A FACTORIZATION OF THE SCATTERING MATRIX FOR THE SCHRODINGER-EQUATION AND FOR THE WAVE-EQUATION IN ONE DIMENSION [J].
AKTOSUN, T .
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (11) :3865-3869
[2]  
DEBIANCHI MS, 1993, HELV PHYS ACTA, V66, P361
[3]   INVERSE SCATTERING ON THE LINE [J].
DEIFT, P ;
TRUBOWITZ, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (02) :121-251
[4]  
Faddeev LD., 1964, AM MATH SOC TRANSL, V2, P139
[5]   SEMICLASSICAL SCATTERING OF QUANTIZED NONLINEAR-WAVES [J].
JACKIW, R ;
WOO, G .
PHYSICAL REVIEW D, 1975, 12 (06) :1643-1649
[6]  
Jauch J. M., 1957, HELV PHYS ACTA, V30, P143
[7]  
Levinson N., 1949, KGL DANSKE VIDENSKAB, V25, P9
[8]  
MARTIN PA, 1981, ACTA PHYS AUSTRIAC S, V23, P159
[9]   INVERSE SCATTERING .1. ONE DIMENSION [J].
NEWTON, RG .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (03) :493-505
[10]   REMARKS ON INVERSE SCATTERING IN ONE DIMENSION [J].
NEWTON, RG .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (10) :2991-2994