On the asymptotics of scattering phases for the Schrödinger equation

D. R. Yafaev

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 53, Issue: 3, page 283-299
  • ISSN: 0246-0211

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Yafaev, D. R.. "On the asymptotics of scattering phases for the Schrödinger equation." Annales de l'I.H.P. Physique théorique 53.3 (1990): 283-299. <http://eudml.org/doc/76505>.

@article{Yafaev1990,
author = {Yafaev, D. R.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {scattering phase; scattering matrix},
language = {eng},
number = {3},
pages = {283-299},
publisher = {Gauthier-Villars},
title = {On the asymptotics of scattering phases for the Schrödinger equation},
url = {http://eudml.org/doc/76505},
volume = {53},
year = {1990},
}

TY - JOUR
AU - Yafaev, D. R.
TI - On the asymptotics of scattering phases for the Schrödinger equation
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 53
IS - 3
SP - 283
EP - 299
LA - eng
KW - scattering phase; scattering matrix
UR - http://eudml.org/doc/76505
ER -

References

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  1. [1] M. Reed and B. Simon, Methods of Modern Mathematical Physics. III. Scattering Theory, New York, Academic Press, 1979. Zbl0405.47007MR529429
  2. [2] L. Hörmander, The Analysis of Linear Partial Differential Operators, II, Springer-Verlag, 1983. Zbl0521.35002MR705278
  3. [3] M.Sh. Birman and D.R. Yafaev, Asymptotics of the Spectrum of a Scattering Matrix, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI), T. 110, 1981, pp.3- 29 (Russian). Zbl0501.35064MR643971
  4. [4] M.Sh. Birman and D.R. Yafaev, Asymptotics of Limit Phases by Potential Scattering Without Spherical Symmetry. Teoret. Mat. Fiz., T. 51, 1982, pp. 44-53 (Russian). MR672765
  5. [5] M.Sh. Birman and M.Z. Solomjak, Asymptotics of the Spectrum of Pseudodifferential Operators with Anisotropically-Homogeneous Symboles, Vestnik Leningrad. Univ. Mat. Mekh. Astronom., T. 13, 1977, pp.13-21; t. 13, 1979, pp. 5-10 (Russian). Zbl0377.47033MR463738
  6. [6] M.Sh. Birman and M.Z. Solomjak, Spectral Theory of Self-Adjoint Operators in Hilbert Space, Dordrecht, Reidel, 1987. Zbl0744.47017
  7. [7] S.T. Kuroda, Scattering Theory for Differential Operators, J. Math. Soc. Jpn, T. 25, 1973, pp. 75-104 and 222-234. Zbl0245.47006
  8. [8] S. Agmon, Spectral Properties of Schrödinger Operators and Scattering Theory, Ann. Scuola Norm. Sup. Pisa, ser. IV, T. 2, 1975, pp. 151-218. Zbl0315.47007MR397194
  9. [9] M.Sh. Birman and M.Z. Solomjak, Estimates of Singular Numbers of Integral Operators, Russian Math. Surveys, T. 22, No. 1, 1977, pp. 15-89. Zbl0376.47023MR438186

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