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- Title
Generalized Foldy-Wouthuysen transformation and pseudodifferential operators.
- Authors
Brüning, J.; Grushin, V.; Dobrokhotov, S.; Tudorovskii, T.
- Abstract
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.
- Subjects
MATHEMATICAL transformations; PSEUDODIFFERENTIAL operators; DIRAC equation; ADIABATIC invariants; APPROXIMATION theory; ASYMPTOTES
- Publication
Theoretical & Mathematical Physics, 2011, Vol 167, Issue 2, p547
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-011-0041-y