Foldy-Wouthuysen变换的一般性质及修正的原Foldy-Wouthuysen方法的适用性
General properties of the Foldy-Wouthuysen transformation and applicability of the corrected original Foldy-Wouthuysen method
摘要：
考虑了在量子力学和量子化学中广泛应用的Foldy-Wouthuysen变换的一般性质。分析了原Foldy-Wouthuysen变换方法的优缺点。虽然这种方法不满足Foldy-Wouthuysen变换的Eriksen条件，但可以使用Baker-Campbell-Hausdorff公式进行校正。我们表明这样的校正的可能性，并提出了一个适当的算法的计算。修正的Foldy-Wouthuysen方法的适用性受到一系列相对论修正的收敛条件的限制。
英文摘要：
General properties of the Foldy-Wouthuysen transformation which is widely used in quantum mechanics and quantum chemistry are considered. Merits and demerits of the original Foldy-Wouthuysen transformation method are analyzed. While this method does not satisfy the Eriksen condition of the Foldy-Wouthuysen transformation, it can be corrected with the use of the Baker-Campbell-Hausdorff formula. We show a possibility of such a correction and propose an appropriate algorithm of calculations. An applicability of the corrected Foldy-Wouthuysen method is restricted by the condition of convergence of a series of relativistic corrections.
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