@article{AIHPA_1993__58_4_413_0, author = {Boutet de Monvel-Berthier, Anne and Manda, Dragos and Purice, Radu}, title = {Limiting absorption principle for the Dirac operator}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {59}, year = {1993}, pages = {413-431}, mrnumber = {1241704}, zbl = {0789.35134}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1993__58_4_413_0} }
Boutet de Monvel-Berthier, Anne; Manda, Dragos; Purice, Radu. Limiting absorption principle for the Dirac operator. Annales de l'I.H.P. Physique théorique, Tome 59 (1993) pp. 413-431. http://gdmltest.u-ga.fr/item/AIHPA_1993__58_4_413_0/
[1] Notes on the N-body problem, I, preprint de l'Université de Genève, UGVA-DPT 1988/11-598 a, 1988, pp. 1-156.
, MONVEL-BERTHIER and ,[2] Limiting absorption principle and resonances for the Dirac operator, Advances to Applied Mathematics, 1991 (to appear). | MR 1243034 | Zbl 0756.35062
and ,[3] Interpolation spaces: an introduction, Springer-Verlag, 1976. | MR 482275 | Zbl 0344.46071
and ,[4] Locally conjugate operators, boundary values of the resolvent and Wave Operators, C. R. Acad. Sci. Paris, Tome 313, Series I, 1991, pp. 13-18. | MR 1115939 | Zbl 0733.47026
and ,[5] Spectral and scattering theory by the conjugate operator method, Algebra and Analysis, Vol. 4, 3, 1992, pp. 73-116 ( = St. Petersburg J., 1992) and Universität Bielefeld, BiBoS, preprint n° 477/91. | MR 1190772 | Zbl 0791.47010
and ,[6] Locally smooth operators and the limiting absorption principle for N body hamiltonians, Reviews in Math. Phys., Vol. 5, 1, 1993, pp. 1-90 and Universität Bielefeld, BiBoS, preprint n° 433/1990. | MR 1219531 | Zbl 0806.47063
, and ,[7] The commutator method for form-relatively compact perturbations, Letters in Math. Physics, Vol. 22, 1991, pp. 211-223. | MR 1129176 | Zbl 0752.35042
, and ,[8] One parameter semigroups, Academic Press, 1980. | MR 591851 | Zbl 0457.47030
,[9] Self-adjoint operators, Lecture Notes in Math., 433, Springer, 1975. | MR 467348 | Zbl 0317.47016
,[10] Quantum field theory, Mc Graw-Hill, 1980. | MR 585517
and ,[11] Perturbations of linear operators, Springer-Verlag, 1966. | Zbl 0148.12601
,[12] Dirac equation with moving nuclei, Ann. Inst. H. Poincaré, Vol. 54, (2), 1991, pp. 209-221. | Numdam | MR 1110653 | Zbl 0748.35033
and ,[13] Absence of singular continuous spectrum for certain self-adjoint operators, Comm. Math. Phys., Vol. 78, 1981, pp. 391-408. | MR 603501 | Zbl 0489.47010
,[14] Opérateurs conjugués et propriétés de propagation, Comm. Math. Phys., Vol. 91, 1983, pp. 279-300. | MR 723552 | Zbl 0543.47041
,[15] Distinguished self-adjoint extensions for Dirac operator with potential dominated by multicenter Coulomb potentials, Helv. Phys. Acta, Vol. 50, 1977, pp. 1-3. | MR 462346
,[16] Spectral analysis for N-body operators, Ann. Math., Vol. 114, 1981, p. 519-567. | MR 634428 | Zbl 0477.35069
, and ,[17] Methods of modern mathematical Physics, Vol. II, Academic Press, New York, 1975.
and ,[18] Methods of modern mathematical Physics, Vol. IV, Academic Press, New York, 1978.
and ,[19] Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton University Press, 1971. | MR 455975 | Zbl 0232.47053
,[20] Asymptotic observables and Coulomb scattering for the Dirac equation, Ann. Inst. H. Poincaré, Vol. 45, (2), 1986, pp. 147-171. | Numdam | MR 866913 | Zbl 0615.47008
and ,[21] Remark on essential self-adjointness of Dirac operators with Coulomb Potentials, Math. Z., Vol. 196, 1987, pp. 517-521. | MR 917234 | Zbl 0617.35127
,[22] Self-adjoint extensions of Dirac operators with non spherically symmetric potentials in Coulomb scattering, Int. Eq. and Op. Theor., Vol. 10, 1987, pp. 841-858. | Zbl 0643.47028
,[23] Absolutely continuous spectrum of Dirac operators for long-range potentials, J. Func. Anal., Vol. 76, 1988, pp. 67-86. | MR 923045 | Zbl 0652.47030
,