Analysis of a nontrivial, explicitly solvable multichannel scattering system

George A. Hagedorn

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 51, Issue: 1, page 1-22
  • ISSN: 0246-0211

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Hagedorn, George A.. "Analysis of a nontrivial, explicitly solvable multichannel scattering system." Annales de l'I.H.P. Physique théorique 51.1 (1989): 1-22. <http://eudml.org/doc/76456>.

@article{Hagedorn1989,
author = {Hagedorn, George A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {multi-channel scattering system; three body problem; Hamiltonian; asymptotic completeness; -matrix},
language = {eng},
number = {1},
pages = {1-22},
publisher = {Gauthier-Villars},
title = {Analysis of a nontrivial, explicitly solvable multichannel scattering system},
url = {http://eudml.org/doc/76456},
volume = {51},
year = {1989},
}

TY - JOUR
AU - Hagedorn, George A.
TI - Analysis of a nontrivial, explicitly solvable multichannel scattering system
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 51
IS - 1
SP - 1
EP - 22
LA - eng
KW - multi-channel scattering system; three body problem; Hamiltonian; asymptotic completeness; -matrix
UR - http://eudml.org/doc/76456
ER -

References

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  3. [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. [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. [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. 
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  7. [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. Zbl0482.47003MR653016
  8. [8] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. III, Scattering Theory, New York, London, Academic Press, 1978. Zbl0405.47007
  9. [9] W. Hunziker, Distortion Analyticity and Molecular Resonance Curves, Ann. Inst. H. Poincaré, Vol. 45, 1988, pp. 339-358. Zbl0619.46068MR880742
  10. [10] B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space, Amsterdam, London, Budapest, North Holland-AmericanElsevier, 1970. Zbl0201.45003MR275190
  11. [11] W. Rudin, Real and Complex Analysis, 2nd ed., New York, McGraw Hill, 1974. Zbl0278.26001MR344043
  12. [12] U. Wüller, Asymptotische Vollständigkeit beim Charge-Transfer-Modell, Dissertation, Freie Universität Berlin, 1988. Zbl0669.35093
  13. [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. Zbl0437.47008MR582506

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