Analysis of a nontrivial, explicitly solvable multichannel scattering system
Hagedorn, George A.
Annales de l'I.H.P. Physique théorique, Tome 51 (1989), p. 1-22 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1989-01-01
@article{AIHPA_1989__51_1_1_0,
     author = {Hagedorn, George A.},
     title = {Analysis of a nontrivial, explicitly solvable multichannel scattering system},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {51},
     year = {1989},
     pages = {1-22},
     mrnumber = {1029847},
     zbl = {0742.34073},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1989__51_1_1_0}
}

Hagedorn, George A. Analysis of a nontrivial, explicitly solvable multichannel scattering system. Annales de l'I.H.P. Physique théorique, Tome 51 (1989) pp. 1-22. http://gdmltest.u-ga.fr/item/AIHPA_1989__51_1_1_0/

[1] R. Shakeshaft and L. Spruch, Mechanisms for Charge Transfer (or the Capture of any Light Particle) at Asymptotically High Impact Velocities, Rev. Mod. Phys., Vol. 51, 1979, pp. 369-406.

[2] G. Breit, A soluble Semiclassical Particle Transfer Problem, Ann. Phys., Vol. 34, 1965, pp. 377-399. | MR 189642

[3] G.H. Herling and Y. Nishida, Applications of the Exactly Soluble One Dimensional Model of Transfer Reactions, Ann. Phys., Vol. 34, 1965, p. 400-414.

[4] Y. Nishida, The One Dimensional Soluble Particle Transfer Problem and the Modified Energy Matrix Method, Ann. Phys., Vol. 34, 1965, pp. 415-423.

[5] E.A. Solov'Ev, Rearrangement and Stripping in Exactly Solvable Models with Allowance for Motion of the Nuclei, Theor. Math. Phys., Vol. 28, 1976, pp. 757-763.

[6] S.K. Zhdanov and A.S. Chikhachev, Particle in a Field of Dispersing 8 Potentials, Soviet Phys. Doklady, Vol. 19, 1975, pp. 696-697.

[7] G.A. Hagedorn, Asymptotic Completeness for the Impact Parameter Approximation to Three Particle Scattering, Ann. Inst. H. Poincaré, Vol. 36, 1982, pp. 19-40. | Numdam | MR 653016 | Zbl 0482.47003

[8] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. III, Scattering Theory, New York, London, Academic Press, 1978. | Zbl 0405.47007

[9] W. Hunziker, Distortion Analyticity and Molecular Resonance Curves, Ann. Inst. H. Poincaré, Vol. 45, 1988, pp. 339-358. | Numdam | MR 880742 | Zbl 0619.46068

[10] B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, Amsterdam, London, Budapest, North Holland-American Elsevier, 1970. | MR 275190 | Zbl 0201.45003

[11] W. Rudin, Real and Complex Analysis, 2nd ed., New York, McGraw Hill, 1974. | MR 344043 | Zbl 0278.26001

[12] U. Wüller, Asymptotische Vollständigkeit beim Charge-Transfer-Modell, Dissertation, Freie Universität Berlin, 1988. | Zbl 0669.35093

[13] K. Yajima, A Multi-channel Scattering Theory for some Time Dependent Hamiltonians, Charge Transfer Problem, Commun. Math. Phys., Vol. 75, 1980, pp. 153-178. | MR 582506 | Zbl 0437.47008