Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen transformation methods

被引：34
|
作者：
Silenko, A. Ya. [1 ]
机构：
[1] Belarusian State Univ, Inst Nucl Problems, Minsk 220050, BELARUS
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2013年 / 176卷 / 02期
关键词：
Foldy-Wouthuysen transformation; unitary transformation; relativistic quantum mechanics; HOMOGENEOUS MAGNETIC-FIELD; RELATIVISTIC-PARTICLES; SPIN-1; PARTICLES; DIRAC; EQUATIONS; MOTION; REPRESENTATION; CONSISTENCY;
D O I：
10.1007/s11232-013-0086-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Relativistic methods for the Foldy-Wouthuysen transformation of the "step-by-step" type already at the first step give an expression for the Hamilton operator not coinciding with the exact result determined by the Eriksen method. The methods agree for the zeroth and first orders in the Planck constant terms but do not agree for the second and higher-order terms. We analyze the benefits and drawbacks of various methods and establish their applicability boundaries.
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页码：987 / 999
页数：13
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