Intertwining methods in the problem of inverse scattering

Anders Melin

Journées équations aux dérivées partielles (1986)

  • page 1-8
  • ISSN: 0752-0360

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Melin, Anders. "Intertwining methods in the problem of inverse scattering." Journées équations aux dérivées partielles (1986): 1-8. <http://eudml.org/doc/93139>.

@article{Melin1986,
author = {Melin, Anders},
journal = {Journées équations aux dérivées partielles},
keywords = {Schrödinger operator; short range potential; intertwining operator; fundamental solution; ultrahyperbolic operator; explicit expressions; scattering operator},
language = {eng},
pages = {1-8},
publisher = {Ecole polytechnique},
title = {Intertwining methods in the problem of inverse scattering},
url = {http://eudml.org/doc/93139},
year = {1986},
}

TY - JOUR
AU - Melin, Anders
TI - Intertwining methods in the problem of inverse scattering
JO - Journées équations aux dérivées partielles
PY - 1986
PB - Ecole polytechnique
SP - 1
EP - 8
LA - eng
KW - Schrödinger operator; short range potential; intertwining operator; fundamental solution; ultrahyperbolic operator; explicit expressions; scattering operator
UR - http://eudml.org/doc/93139
ER -

References

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  1. 1. L.D. Faddeev, The inverse problem in quantum theory of scattering. J. Math. Phys 4 (1), 1963, 72-104. Zbl0112.45101MR26 #7328
  2. 2. L.D. Faddeev, Inverse problem of quantum scattering theory, II. J. Sov. Math., 5 (1), 1976, 334-396. Zbl0373.35014
  3. 3. V.A. Marchenko, Some questions in the theory of linear differential operators of second order, I (in Russian). Trudy Moskov. Mat. Obshch., 1, 1952, 327-420. Zbl0048.32501
  4. 4. A. Melin, Operator methods for inverse scattering on the real line. Comm. Partia Differential Equations, 10 (7), 1985, 677-766. Zbl0585.35077MR86f:35177
  5. 5. R.G. Newton, Inverse scattering. II. Three dimensions. J. Math. Phys. 21 (7), 1980, 1698-1715. Zbl0456.35070
  6. 6. R.G. Newton, An inverse spectral problem in three dimensions. SIAM-AMS Proceedings, vol 14, 1984, 81-90. Zbl0554.35125MR773704
  7. 7. Y. Saito, Some properties of the scattering amplitude and the inverse scattering problem. Osaka J. Math., 19, 1982, 527-547. Zbl0498.35070MR83k:35068
  8. 8. Y. Saito, An inverse problem in potential theory and the inverse scattering problem. J. Math. Kyoto Univ. 22, 1982, 307-321. Zbl0498.35085MR83j:81074

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