no. 1
Splitting of the Dirac operator in the nonrelativistic limit
Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 1, pp. 109-121. 
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     author = {White, Gregory B.},
     title = {Splitting of the {Dirac} operator in the nonrelativistic limit},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {109--121},
     publisher = {Gauthier-Villars},
     volume = {53},
     number = {1},
     year = {1990},
     mrnumber = {1077468},
     zbl = {0712.35082},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1990__53_1_109_0/}
}
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White, Gregory B. Splitting of the Dirac operator in the nonrelativistic limit. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 1, pp. 109-121. http://www.numdam.org/item/AIHPA_1990__53_1_109_0/

[1] R.J. Cirincione and P.R. Chernoff, Dirac and Klein-Gordon Equations: Convergence of solutions in the nonrelativistic limit, Commun. Math. Phys., Vol. 79, 1981, pp. 33-46. | MR | Zbl

[2] E.B. Davies, Asymptotic analysis of some abstract evolution equations, J. Funct. Anal., Vol. 25, 1977, pp. 81-101. | MR | Zbl

[3] P.A. Deift, Applications of a commutation formula, Duke Math J., Vol. 45, 1978, pp. 267-310. | MR | Zbl

[4] L.L. Foldy and S.A. Wouthuysen, On the Dirac theory of spin 1/2 particles and its non-relativistic limit, Phys. Rev., Vol. 78, 1950, pp. 29-36. | Zbl

[5] F. Gesztesy, H. Grosse and B. Thaller, A rigorous approach to relastivistic corrections of bound state energies for spin-1/2 particles, Ann. Inst. Henri Poincaré, Vol. 40, No. 2, 1984, pp. 159-174. | Numdam | MR | Zbl

[6] F. Gesztesy, H. Grosse and B. Thaller, First-Order Relastivic Correlations and Spectral Concentration, Adv. Appl. Math., Vol. 6, 1985, pp. 159-176. | MR | Zbl

[7] E. Hille and R. Phillips, Functional Analysis and Semigroups, Am. Math. Soc. Colloquium Publications XXXI, Providence, R. I., 1957. | MR | Zbl

[8] W. Hunziker, On the nonrelativistic limit of the Dirac theory, Commun. Math. Phys., Vol. 40, 1975, pp. 215-222. | MR

[9] T. Kato, Perturbation Theory for Linear Operators, 2nd ed., Springer-Verlag, New York/Berlin, 1980.

[10] A. Messiah, Quantum Mechanics, Vols. 1 & 2, North Holland, Amsterdam, 1970. | Zbl

[11] R. Prosser, Relativistic Potential Scattering, J. Math. Phys., Vol. 4, 1964, pp. 1048-1054. | MR | Zbl

[12] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. I: Functional Analysis, Academic Press, New York/London, 1972. | Zbl

[13] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. II: Fourier Analysis/Self-Adjointness, Academic Press, New York/London, 1975. | Zbl

[14] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. IV: Analysis of Operators, Academic Press, New York/London, 1978. | Zbl

[15] M.E. Rose Relativistic Electron Theory, John Wiley & Sons, Inc., New York/London, 1961. | Zbl

[16] K. Veselič, Perturbation of pseudoresolvents and analyticity in 1/c of relativistic quantum mechanics, Commun. Math. Phys., 22, 1971, pp. 27-43. | MR | Zbl

[17] G.B. White, The nonrelativistic limit of the Dirac operator: Splitting of the operator and classification of the discrete spectrum, Ph. D. Thesis, University of California, Los Angeles, 1988.