@article{AIHPA_1997__66_2_237_0,
author = {Isozaki, Hiroshi},
title = {Inverse scattering theory for Dirac operators},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {67},
year = {1997},
pages = {237-270},
mrnumber = {1449193},
zbl = {0908.35089},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1997__66_2_237_0}
}
Isozaki, Hiroshi. Inverse scattering theory for Dirac operators. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) pp. 237-270. http://gdmltest.u-ga.fr/item/AIHPA_1997__66_2_237_0/
[1] and , Asymptotic properties of solutions of differential equations with simple characteristics, J. d'Anal. Math., Vol. 30, 1976, pp. 1-38. | MR 466902 | Zbl 0335.35013
[2] , , Limiting absorption principle and resonances for the Dirac operator, Adv. in Appl. Math., Vol. 13, 1992, pp. 186-215. | MR 1162140 | Zbl 0756.35062
[3] and , Multidimensional inverse scattering and nonlinear P.D.E., Proc. Sympo. Pure Math., Vol. 43, 1985, pp. 45-70. | Zbl 0575.35011
[4] , and , Limiting absorption principle for the Dirac operator, Ann. Inst. Henri Poincaré, Physique Théorique, Vol. 58, 1993, pp. 413-431. | Numdam | MR 1241704 | Zbl 0789.35134
[5] and , Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy, Commun. Math. Phys, Vol. 173, 1995, pp. 199-224. | MR 1355624 | Zbl 0843.35133
[6] , Inverse problem of quantum scattering theory, J. Sov. Math., Vol. 5, 1976, pp. 334-396. | Zbl 0373.35014
[7] , The ∂-approach to inverse scattering for Dirac operators, Inverse Problems, Vol. 11, 1995, pp. 123-146. | MR 1313603 | Zbl 0821.35115
[8] , Uniqueness and stability in multi-dimensional inverse problems, Inverse Problems, Vol. 9, 1993, pp. 579-621 | MR 1251194 | Zbl 0924.35195
[9] , Multi-dimensional inverse scattering theory for Schrödinger operators, to appear in Reviews in Math. Phys.. | MR 1405765 | Zbl 0859.35083
[10] , Scattering theory for differential operators, II, J. Math. Soc. Japan, Vol. 25, 1972, pp. 222-234. | MR 326436 | Zbl 0252.47007
[11] , Reconstruction from boundary measurements, Ann. Math., Vol. 128, 1988, pp. 531-576. | MR 970610 | Zbl 0675.35084
[12] , Inverse scattering at fixed energy, Proceedings of the 10th International Congress on Math. Phys., Leipzig 1991, edited by K. Schmügen, Springer Verlag, 1992, pp. 434-441. | MR 1386440 | Zbl 0947.81562
[13] and , A multi-dimensional inverse scattering method, Stud. Appl. Math., Vol. 71, 1984, pp. 243-250. | Zbl 0557.35032
[14] and , Global uniqueness for an inverse bounday problem arising in elasticity, Invent. math., Vol. 118, 1994, pp. 457-474. | MR 1296354 | Zbl 0814.35147
[15] , Inverse Schrödinger Scattering in Three Dimensions, Springer-Verlag, Berlin-Heidelberg-New York, 1989. | MR 1029031 | Zbl 0697.35005
[16] and , The ∂-equation in the multi-dimensional inverse scattering problem, Russian Math. Surveys, Vol. 42, 1987, pp. 109-180. | Zbl 0674.35085
[17] , The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential, Commun. Math. Phys., Vol. 161, 1994, pp. 569-595. | MR 1269391 | Zbl 0803.35166
[18] , and , An inverse boundary value problem in electrodynamics, Duke Math. J., Vol. 70, 1993, pp. 617-653. | MR 1224101 | Zbl 0804.35152
[19] and , A global uniqueness theorem for an inverse boundary value problem, Ann. Math., Vol. 125, 1987, pp. 153-169. | MR 873380 | Zbl 0625.35078
[20] , Dirac Equations, Texts and Monographs in Physics, Springer, Berlin 1992. | MR 1219537
[21] , , Asympotic observables and Coulomb scattering for the Dirac equation, Ann. Inst. H. Poincaré, Vol. 45, 1986, pp. 147-171. | Numdam | MR 866913 | Zbl 0615.47008
[22] , Inverse boundary value problems and applications, Astérisque, Vol. 207, 1992, pp. 153-211. | MR 1205179 | Zbl 0787.35123
[23] , Generalized limiting absorption method and multidimensional inverse scattering theory, Math. Meth. in Appl. Sci., Vol. 14, 1991, pp. 509-524. | MR 1125019 | Zbl 0738.35055
[24] , Eigenfunction expansions and scattering theory for Dirac operators, Publ. RIMS. Kyoto Univ., Vol. 11, 1976, pp. 651-689. | MR 407471 | Zbl 0334.35060