Geodesic
Generalized Foldy–Wouthuysen transformation and pseudodifferential operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 171-192 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that the Foldy–Wouthuysen transformation and its generalizations are simplified if the methods of pseudodifferential operators are used, which also allow estimating the exactness of the transition from the Dirac equation to the reduced equations for electrons and positrons. The methods and techniques used can be useful not only in studying asymptotic solutions of the Dirac equation but also in other problems.
Mots-clés : Dirac equation
Keywords: Foldy–Wouthuysen transformation, adiabatic approximation, pseudodifferential operator. 
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J. Brüning; V. V. Grushin; S. Yu. Dobrokhotov; T. Ya. Tudorovskii. Generalized Foldy–Wouthuysen transformation and pseudodifferential operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 171-192. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a1/

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