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

Silenko A.Y.

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

机译：直接和“逐步” Foldy-Wouthuysen转换方法的比较分析

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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.

机译：第一步已经进行了“逐步”类型的Foldy-Wouthuysen变换的相对论方法，给出了汉密尔顿算子的表达式，该表达式与Eriksen方法确定的确切结果不一致。在普朗克常数项中，方法对于零阶和一阶是一致的，但对于二阶和更高阶项，则是不一致的。我们分析了各种方法的优缺点，并建立了它们的适用范围。

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《Theoretical and mathematical physics》 |2013年第2期|共13页
作者
Silenko A.Y.;
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正文语种 eng
中图分类物理学的数学方法;
关键词
Foldy-Wouthuysen transformation; relativistic quantum mechanics; unitary transformation;

机译：Foldy-Wouthuysen变换;相对论量子力学;unit变换;

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1. Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen transformation methods [J] . Silenko A.Y. Theoretical and mathematical physics . 2013,第2期

机译：直接和“逐步” Foldy-Wouthuysen转换方法的比较分析
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3. General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian [J] . Silenko Alexander J. Physical Review, A. Atomic, molecular, and optical physics . 2015,第2aPta1期

机译：相对论的Foldy-Wouthuysen变换的一般方法和Foldy-Wouthuysen哈密顿量的有效性证明
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机译：直接与“逐步”Foldy-Wouthuysen的比较分析转化方法

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

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