Foldy-Wouthuysen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations

被引：32
|
作者：
Neznamov, V. P. [1 ]
Silenko, A. J. [2 ]
机构：
[1] All Russian Res Inst Expt Phys, Russian Fed Nucl Ctr, Sarov 607190, Russia
[2] Belarusian State Univ, Res Inst Nucl Problems, Minsk 220030, BELARUS
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 12期
关键词：
Dirac equation; relativistic quantum mechanics; PARTICLES;
D O I：
10.1063/1.3268592
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The block diagonalization of the Hamiltonian is not sufficient for the transformation to the Foldy-Wouthuysen (FW) representation. The conditions enabling the transition from the Dirac representation to the FW one are formulated and proven. The connection between wave functions in the two representations is derived. The results obtained allow calculating expectation values of operators corresponding to main classical quantities.
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页数：15
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