no. 3
On the nonrelativistic limit of the Dirac hamiltonian
Annales de l'I.H.P. Physique théorique, Tome 51 (1989) no. 3, pp. 231-263. 
@article{AIHPA_1989__51_3_231_0,
     author = {Grigore, D. R. and Nenciu, G. and Purice, R.},
     title = {On the nonrelativistic limit of the {Dirac} hamiltonian},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {231--263},
     publisher = {Gauthier-Villars},
     volume = {51},
     number = {3},
     year = {1989},
     mrnumber = {1034588},
     zbl = {0705.35115},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1989__51_3_231_0/}
}
TY  - JOUR
AU  - Grigore, D. R.
AU  - Nenciu, G.
AU  - Purice, R.
TI  - On the nonrelativistic limit of the Dirac hamiltonian
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1989
SP  - 231
EP  - 263
VL  - 51
IS  - 3
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1989__51_3_231_0/
LA  - en
ID  - AIHPA_1989__51_3_231_0
ER  - 
%0 Journal Article
%A Grigore, D. R.
%A Nenciu, G.
%A Purice, R.
%T On the nonrelativistic limit of the Dirac hamiltonian
%J Annales de l'I.H.P. Physique théorique
%D 1989
%P 231-263
%V 51
%N 3
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1989__51_3_231_0/
%G en
%F AIHPA_1989__51_3_231_0
Grigore, D. R.; Nenciu, G.; Purice, R. On the nonrelativistic limit of the Dirac hamiltonian. Annales de l'I.H.P. Physique théorique, Tome 51 (1989) no. 3, pp. 231-263. http://www.numdam.org/item/AIHPA_1989__51_3_231_0/

[1] A.I. Achiezer and W.B. Berestecky, Kvantovaja elektrodinamics, Gosudarstvennoe izdatel' stvo fiziko-matematicskoj literatury, Moscova, 1959.

[2] S. Agmon, Spectral Properties of Schrödinger Operators and Scattering Theory, Ann. Sc. Sup. Pisa, Vol. 2, 1975, pp. 151-218. | Numdam | MR | Zbl

[3] W.O. Amrein, J.M. Jauch and K.B. Sinha, Scattering Theory in Quantum Mechanics, W. A. Benjamin Inc., Reading Massachusetts, 1977. | MR | Zbl

[4] K.M. Case, Some Generalization of the Foldy-Wouthuysen Transformation, Phys. Rev., Vol. 95, 1954, pp. 1323-1328. | MR | Zbl

[5] M. Cibils, Existence du Temps de Retard en Théorie de la Diffusion Quantique Non-Relativiste, Thèse, Univ. de Genève, 1987.

[6] E. De Vries, Foldy-Wouthuysen Transformations and Related Problems, Fortschr. f. Physik, Vol. 18, 1970, pp. 149-182.

[7] E. Eriksen, Foldy-Wouthuysen Transformation; Exact Solution with Generalization to the two-Particle Problem, Phys. Rev., Vol. 111, 1958, pp. 1011-1016. | MR | Zbl

[8] E. Eriksen and M. Kolsrud, Canonical Transformations of Dirac's Equation to Even Forms. Expansion in Terms of the External Fields, Nuovo Cim., Suppl. 18, 1960, pp. 1- 39. | MR

[9] L.L. Foldy and S.A. Wouthuysen, On the Dirac Theory of Spin 1/2 Particles and its Nonrelativistic limit, Phys. Rev., Vol. 78, 1950, pp. 29-36. | Zbl

[10] F. Gesztesy, H. Grosse and B. Thaller, A Rigorous Approach to Relativistic Corrections of Bound State Energies for Spin -1/2 Particles, Ann. Inst. H. Poincaré, Vol. 40, 1984, p. 159. | Numdam | MR | Zbl

[11] W. Hunziker, On the Spectra of Schrödinger Multiparticle Hamiltonians, Helv. Phys. Acta, Vol. 39, 1966, pp. 451-462. | MR | Zbl

[12] W. Hunziker, On the Nonrelativistic Limit of the Dirac Theory, Comm. Math. Phys., Vol. 40, 1975, pp. 215-222. | MR

[13] A. Jensen and T. Kato, Spectral Properties of Schrödinger Operators and Time-decay of the Wave Functions, Duke Math. J., Vol. 46, 1979, pp. 583-612. | MR | Zbl

[14] T. Kato, Perturbation Theory for Linear Operators, 2nd ed., Springer Verlag, New York, Berlin, 1980. | MR

[15] S.T. Kuroda, Scattering Theory for Differential Operators I: Operator Theory, J. Math. Soc. Japan, Vol. 25, 1973, pp. 75-104. | MR | Zbl

[16] S.T. Kuroda, Scattering Theory for Differential Operators II: Self-Adjoint Elliptic Operators, J. Math. Soc. Japan, Vol. 25, 1973, pp. 222-234. | MR | Zbl

[17] L. Landau and E. Lifshitz, Physique Théorique; Vol. IV, 2e Parite, Ed. Mir, Moscou, 1972.

[18] G. Nenciu, Eigenfunction Expansions for Schrödinger and Dirac Operators with Singular Potentials, Comm. Math. Phys., Vol. 42, 1975, pp. 221-229. | MR | Zbl

[19] G. Nenciu, Existence of the Spontaneous Pair Creation in the External Field Approximation of Q.E.D., Comm. Math. Phys., Vol. 109, 1987, pp. 303-312. | MR | Zbl

[20] W. Pauli, Z. f. Phys., Vol. 43, 1927, p. 601. | JFM

[21] R.T. Prosser, Relativistic Potential Scattering, J. Math. Phys., Vol. 4, 1963, p. 1048. | MR | Zbl

[22] M. Schechter, Scattering Theory for Elliptic Operators of Arbitrary Order, Comm. Math. Helv., Vol. 49, 1974, pp. 84-113. | MR | Zbl

[23] S. Schweber, An Introduction to Relativistic Quantum Field Theory. New York, Harper & Row Publishers Inc., 1961. | Zbl

[24] B. Thaller, Normal Forms of an Abstract Dirac Operator and Applications to Scattering Theory, J. Math. Phys., Vol. 29, 1988, pp. 249-257. | MR | Zbl

[25] K. Veselic, Perturbation of Pseudoresolvents and Analyticity in 1/c of Relativistic Quantum Mechanics, Comm. Math. Phys., Vol. 22, 1971, pp. 27-43. | MR | Zbl

[26] K. Yajima, Nonrelativistic Limit of the Dirac Theory, Scattering Theory, J. Fac. Sci., Univ. of Tokyo I A, Vol. 23, 1976, pp. 517-523. | MR | Zbl