Levinson theorem for Dirac particles in one dimension

被引：0
|
作者：
Qiong-gui Lin
机构：
[1] China Center of Advanced Science and Technology (World Laboratory),
[2] P.O. Box 8730,undefined
[3] Beijing 100080,undefined
[4] P.R. China and Department of Physics,undefined
[5] Zhongshan University,undefined
[6] Guangzhou 510275,undefined
[7] P.R. China,undefined
来源：
The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics | 1999年 / 7卷
关键词：
PACS. 34.10.+x General theories and models of atomic and molecular collisions and interactions (including statistical theories, transition state, stochastic and trajectory models, etc.) - 03.65.-w Quantum mechanics - 11.80.-m Relativistic scattering theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The scattering of Dirac particles by symmetric potentials in one dimension is studied. A Levinson theorem is established. By this theorem, the number of bound states with even(odd)-parity, n+ (n-), is related to the phase shifts \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} [\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}] of scattering states with the same parity at zero momentum as follows: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}The theorem is verified by several simple examples.
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页码：515 / 524
页数：9
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