Some new results in spectral and scattering theory of differential operators on R n

S. Agmon

Séminaire Équations aux dérivées partielles (Polytechnique) (1978-1979)

  • page 1-11

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Agmon, S.. "Some new results in spectral and scattering theory of differential operators on $R^n$." Séminaire Équations aux dérivées partielles (Polytechnique) (1978-1979): 1-11. <http://eudml.org/doc/111735>.

@article{Agmon1978-1979,
author = {Agmon, S.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Spectral and Scattering Theory; Differential Self-Adjoint Operator; Generalized Eigenfunctions; Asymptotics; Limiting Absorption Principle},
language = {eng},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Some new results in spectral and scattering theory of differential operators on $R^n$},
url = {http://eudml.org/doc/111735},
year = {1978-1979},
}

TY - JOUR
AU - Agmon, S.
TI - Some new results in spectral and scattering theory of differential operators on $R^n$
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1978-1979
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - eng
KW - Spectral and Scattering Theory; Differential Self-Adjoint Operator; Generalized Eigenfunctions; Asymptotics; Limiting Absorption Principle
UR - http://eudml.org/doc/111735
ER -

References

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  1. [1] S. Agmon and L. Hörmander: Asymptotic properties of solutions of differential equations with simple characteristics, J. Anal. Math.30 (1976), 1-38. Zbl0335.35013MR466902
  2. [2] P.K. Alsholm: Wave operators for long-range scattering. Zbl0359.47006
  3. [3] P.K. Alsholm and T. Kato: Scattering with long range potentials, Proc. A. M. S. Symp. Pure Math. (Berkeley 1971), 393-399. Zbl0263.47008MR385351
  4. [4] W. Amrein, Ph. Martin and B. Misra: On the asymptotic condition of scattering theory. Helv. Phys. Acta43 (1970), 313-344. Zbl0195.56101MR309477
  5. [5] V.S. Buslaev and V.B. Matveev: Wave operators for the Schrödinger equation with a slowly decreasing potential.Theor.Math.Phys.2(1970) 266-274 (trans. from Russian). MR473580
  6. [6] J.D. Dollard: Asymptotic convergence and the Coulomb interaction, J. Math. Phys.5 (1964), 729-738. MR163620
  7. [7] J.D. Dollard: Quantum mechanical scattering theory for short range and Coulomb interactions. Rocky Mt. J. Math.1 (1971), 5-88. Zbl0226.35074MR270673
  8. [8] J.C. Guillot: Perturbation of the Laplacian Coulomb like potentials, Ind. Univ. Math. J.25 (1976), 1105-1126. Zbl0417.35032MR430549
  9. [9] L. Hörmander: The existence of wave operators in scattering theory, Math. Z.146 (1976), 69-91. Zbl0319.35059MR393884
  10. [12] K. Zizi: Thèse de Doctorat d'Etat, 1975, Université Paris Nord. 

Citations in EuDML Documents

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  1. Monique Combescure, Propagation and local-decay properties for long-range scattering of quantum three-body systems
  2. Yannick Gâtel, Dimitri Yafaev, On solutions of the Schrödinger equation with radiation conditions at infinity : the long-range case
  3. Arne Jensen, Éric Mourre, Peter Perry, Multiple commutator estimates and resolvent smoothness in quantum scattering theory
  4. Pierre Cartier, Théorie de la diffusion pour l'équation de Schrödinger
  5. Didier Robert, H. Tamura, Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
  6. Pl. Muthuramalingam, Kalyan B. Sinha, Asymptotic completeness in long range scattering. II

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