@article{AIHPA_1992__57_4_361_0,
author = {Yafaev, Dimitri},
title = {On the scattering matrix for perturbations of constant sign},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {56},
year = {1992},
pages = {361-384},
mrnumber = {1198982},
zbl = {0780.47011},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1992__57_4_361_0}
}
Yafaev, D. R. On the scattering matrix for perturbations of constant sign. Annales de l'I.H.P. Physique théorique, Tome 56 (1992) pp. 361-384. http://gdmltest.u-ga.fr/item/AIHPA_1992__57_4_361_0/
[1] and , On the Theory of Wave Operators and Scattering Operators, Dokl. Acad. Nauk. U.S.S.R., T. 144, 1962, pp. 475-478 (Russian). | MR 139007 | Zbl 0196.45004
[2] and , Some Problems of the Theory of Wave Operators and Scattering Operators, Proc. of the joint Sov.-Amer. Symp on Partial Diff. Equations, Novosibirsk, 1963 (Russian).
[3] , On the Spectrum of the Scattering Matrix, Izv. VUZov, Math., No. 5, 1971, pp. 54-61 (Russian). | MR 290176
[4] , On Spectral Properties of the Scattering Matrix, II, Topics in Math. Phys., Leningrad Univ, T. 7, 1974, pp. 135-149 (Russian). | MR 445312
[5] et , Mécanique Quantique. Théorie non relativiste, Moscou, MIR, 1967. | Zbl 0144.47605
[6] , Some Remarks on Scattering for Schrödinger Operators, J. Fac. Sci. Univ. Tokyo, Sec 1 A, T. 17, 1970, pp. 315-329. | MR 412635 | Zbl 0222.47004
[7] and , Asymptotics of the Spectrum of a Scattering Matrix, Zap. Nauchn. Sem. Leningrad Otdel Mat. Inst. Steklov (LOMI), T. 110, 1981, pp. 3-29 (Russian). | MR 643971 | Zbl 0501.35064
[8] , Monotonicity Theorems in Scattering Theory, Hadronic J, T. 1, 1978, pp. 134- 154. | MR 506116 | Zbl 0426.47004
[9] , On the Asymptotics of Scattering Phases for the Schrödinger Equation, Ann. Inst. H. Poincaré, T. 53, 1990, pp.283-299. | Numdam | MR 1084881 | Zbl 0723.35062
[10] , Mathematical Scattering Theory: General Theory, Amer. Math. Soc., 1992. | MR 1180965 | Zbl 0761.47001
[11] , Scattering Theory for Differential Operators, J. Math. Soc. Japan, T. 25, 1973, pp. 75-104 and 222-234. | MR 326435 | Zbl 0252.47007 | Zbl 0245.47006
[12] and , A General Scheme in Stationary Scattering Theory, Topics in Math. Phys., Leningrad Univ., T. 12, 1987, pp. 89-117 (Russian). | MR 923973
[13] , A Local Condition of the Existence of Wave Operators, Izv. Acad. Sci. U.S.S.R., S. Math. T. 32, 1968, pp. 914-942 (Russian). | MR 248558 | Zbl 0169.16903
[14] , The Analysis of Linear Partial Differential Operators, II, Springer-Verlag, 1983. | MR 705278 | Zbl 0521.35002
[15] , The Eikonal Approximation and the Asymptotics of the Total Scattering Cross-Section for the Schrödinger Equation, Ann. Inst. H. Poincaré, T. 44, 1986, pp. 397-425. | Numdam | MR 850898 | Zbl 0608.35054
[16] and , On the Trace-Class Method in Potential Scattering Theory, Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov (LOMI), T. 171, 1989, pp. 12-35 (Russian). | MR 1031982
[17] and , Spectral Properties of the Abstract Scattering Matrix, Trudy MIAN, T. 188, 1990, pp. 125-149 (Russian). | MR 1100541 | Zbl 0733.47011