精确Foldy-Wouthuysen表示的Eriksen方法的验证
Validation of the Eriksen Method of the Exact Foldy-Wouthuysen Representation
摘要：
证明了当满足精确变换到Foldy-Wouthuysen（FW）表示的充分条件时，Eriksen方法能得到正确和精确的结果.因此，Eriksen方法被确认为有效。这使得有可能确定适用近似“逐步”方法的限度。后者是通过比较FW表示中哈密顿算子的相对论公式（使用这些方法获得）和级数第一项的已知表达式来完成的，该表达式定义了该算子的v/c幂展开，如应用埃里克森方法所发现的。
英文摘要：
The Eriksen method is proven to yield a correct and exact result when a sufficient condition of exact transformation to the Foldy-Wouthuysen (FW) representation is satisfied. Therefore, the Eriksen method is confirmed as valid. This makes it possible to establish the limits within which the approximate "step-by-step" methods are applicable. The latter is done by comparing the relativistic formulas for a Hamiltonian operator in the FW representation (obtained using those methods) and the known expression for the first terms of a series, which defines the expansion of this operator in powers of v/c as found by applying the Eriksen method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
