Limiting absorption principle for the Dirac operator
Annales de l'I.H.P. Physique théorique, Volume 58 (1993) no. 4, pp. 413-431.
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     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},
     pages = {413--431},
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     year = {1993},
     mrnumber = {1241704},
     zbl = {0789.35134},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1993__58_4_413_0/}
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Boutet de Monvel-Berthier, Anne; Manda, Dragos; Purice, Radu. Limiting absorption principle for the Dirac operator. Annales de l'I.H.P. Physique théorique, Volume 58 (1993) no. 4, pp. 413-431. http://www.numdam.org/item/AIHPA_1993__58_4_413_0/

[1] W.O. Amrein, A. Boutet De MONVEL-BERTHIER and V. Georgescu, Notes on the N-body problem, I, preprint de l'Université de Genève, UGVA-DPT 1988/11-598 a, 1988, pp. 1-156.

[2] E. Balslev and B. Helffer, Limiting absorption principle and resonances for the Dirac operator, Advances to Applied Mathematics, 1991 (to appear). | MR | Zbl

[3] J. Bergh and J. Löfström, Interpolation spaces: an introduction, Springer-Verlag, 1976. | MR | Zbl

[4] A. Boutet De Monvel-Berthier and V. Georgescu, 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 | Zbl

[5] A. Boutet De Monvel-Berthier and V. Georgescu, 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 | Zbl

[6] A. Boutet De Monvel-Berthier, V. Georgescu and M. Mantoiu, 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 | Zbl

[7] A. Boutet De Monvel-Berthier, D. Manda and R. Purice, The commutator method for form-relatively compact perturbations, Letters in Math. Physics, Vol. 22, 1991, pp. 211-223. | MR | Zbl

[8] E.B. Davies, One parameter semigroups, Academic Press, 1980. | MR | Zbl

[9] W. Faris, Self-adjoint operators, Lecture Notes in Math., 433, Springer, 1975. | MR | Zbl

[10] C. Itzykson and J.B. Zuber, Quantum field theory, Mc Graw-Hill, 1980. | MR

[11] T. Kato, Perturbations of linear operators, Springer-Verlag, 1966. | Zbl

[12] T. Kato and K. Yajima, Dirac equation with moving nuclei, Ann. Inst. H. Poincaré, Vol. 54, (2), 1991, pp. 209-221. | Numdam | MR | Zbl

[13] E. Mourre, Absence of singular continuous spectrum for certain self-adjoint operators, Comm. Math. Phys., Vol. 78, 1981, pp. 391-408. | MR | Zbl

[14] E. Mourre, Opérateurs conjugués et propriétés de propagation, Comm. Math. Phys., Vol. 91, 1983, pp. 279-300. | MR | Zbl

[15] G. Nenciu, Distinguished self-adjoint extensions for Dirac operator with potential dominated by multicenter Coulomb potentials, Helv. Phys. Acta, Vol. 50, 1977, pp. 1-3. | MR

[16] P. Perry, I. Sigal and B. Simon, Spectral analysis for N-body operators, Ann. Math., Vol. 114, 1981, p. 519-567. | MR | Zbl

[17] M. Reed and B. Simon, Methods of modern mathematical Physics, Vol. II, Academic Press, New York, 1975.

[18] M. Reed and B. Simon, Methods of modern mathematical Physics, Vol. IV, Academic Press, New York, 1978.

[19] B. Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton University Press, 1971. | MR | Zbl

[20] B. Thaller and V. Enss, Asymptotic observables and Coulomb scattering for the Dirac equation, Ann. Inst. H. Poincaré, Vol. 45, (2), 1986, pp. 147-171. | Numdam | MR | Zbl

[21] V. Vogelsang, Remark on essential self-adjointness of Dirac operators with Coulomb Potentials, Math. Z., Vol. 196, 1987, pp. 517-521. | MR | Zbl

[22] V. Vogelsang, 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

[23] V. Vogelsang, Absolutely continuous spectrum of Dirac operators for long-range potentials, J. Func. Anal., Vol. 76, 1988, pp. 67-86. | MR | Zbl