2016/02/06 by Alexander J. Silenko
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Applied mathematics #Chemistry #Convergence (economics) #Hausdorff space #Mathematics #Matrix Theory and Algorithms #Molecular spectroscopy and chirality #Physics #Pure mathematics #Transformation (genetics) #math-ph #math.MP #msc:81-XX
paper · pdf · doi:10.1103/physreva.93.022108
published as Physical Review A 93, 022108 (2016) · 19 pages
arxiv created 2016/02/06 · openalex publication_date 2016/02/09 · arxiv updated 2016/02/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.