Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien

K. Zizi

Séminaire Équations aux dérivées partielles (Polytechnique) (1973-1974)

  • page 1-10

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Zizi, K.. "Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien." Séminaire Équations aux dérivées partielles (Polytechnique) (1973-1974): 1-10. <http://eudml.org/doc/111604>.

@article{Zizi1973-1974,
author = {Zizi, K.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {fre},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien},
url = {http://eudml.org/doc/111604},
year = {1973-1974},
}

TY - JOUR
AU - Zizi, K.
TI - Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1973-1974
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - fre
UR - http://eudml.org/doc/111604
ER -

References

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  1. [1] F. Rellich: Uber das asymptotische Verhalten der Lösungen von Δu + λu = 0 in unendlichen Gebieten Jber Deutsch. Math Verein.53 (1943) 57-65. Zbl0028.16401
  2. [2] T. Kato: Growth properties of solutions of the reduced wave equations with a variable coefficient. Comm. Pure App. Math.12 (1959) 403-425. Zbl0091.09502MR108633
  3. [3] S. Agmon: Lower bounds for solutions of Schrödinger equation. Journ. Anal. Jerusalem23 (1970) 1-25. Zbl0211.40703MR276624
  4. [4] J. Dollard: Asymptotic convergence and the coulomb interactionJ. M. P.5 (1964) 729-738. MR163620
  5. [5] V.S. Buslaeev et V.B. Matveev: Wave operators for the scattering equation with a slowly decreasing potential, Theo. Math. Phys.2 (1970) 266-274. 
  6. [6] P. Alshom et T. Kato: Scattering with long range potentials, Preprint 1971. Zbl0263.47008
  7. [7] S.T. Kuroda: On the existence and the unitarity property of the scattering operator, Nuovo Cimento12, 431-454 (1959). Zbl0084.44801
  8. [8] N. Schenk et D. Thoe: Eigenfunction expansion and scattering theory for perturbation of - Δ, J. M. A. A.36-2 (1971) 313-351. Zbl0249.47004
  9. [9] Schechter: Spectra of partial differential operators, Noth-Holland (1971). Zbl0225.35001
  10. [10] T. Ikebé: Scattering for the SchrHdinger operator in an exterior domain, J. Math. Kyoto Univ. (1967) 93-112. Zbl0153.42503MR247298

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