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- W154789967 abstract "Under fairly general conditions on the interactions we prove holomorphy of the Dirac resolvent around its nonrelativistic limit. As a consequence, perturbation theory in terms of resolvents (instead of Hamiltonians) yields holomorphy of Dirac eigenvalues and eigenfunctions with respect to c −1 and a new method of calculating relativistic corrections to bound state energies. Due to a formulation in an abstract setting our method is applicable in many different concrete situations. In particular our approach covers the case of the relativistic hydrogen atom in external electromagnetic fields Sous des hypotheses assez generales sur les interactions, on demontre l'holomorphie de la resolvante de l'operateur de Dirac au voisinage de sa limite non relativiste. En consequence, la theorie des perturbations en termes des resolvantes fournit l'holomorphie par rapport a C −1 des valeurs propres et des fonctions propres de l'operateur de Dirac, et une nouvelle methode de calcul des corrections relativistes aux energies de liaison. Grâce a sa formulation dans un cadre abstrait, cette methode s'applique a un grand nombre de situations concretes differentes. Elle couvre le cas de l'atome d'hydrogene relativiste dans des champs electromagnetiques externes" @default.
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- W154789967 date "1984-01-01" @default.
- W154789967 modified "2023-09-22" @default.
- W154789967 title "A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles" @default.
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