Some mathematical problems in inverse potential scattering

A. Melin

Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987)

  • page 1-6

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Melin, A.. "Some mathematical problems in inverse potential scattering." Séminaire Équations aux dérivées partielles (Polytechnique) (1986-1987): 1-6. <http://eudml.org/doc/111918>.

@article{Melin1986-1987,
author = {Melin, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Schrödinger operator; odd dimensions; intertwining operators; small potentials; inverse scattering},
language = {eng},
pages = {1-6},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Some mathematical problems in inverse potential scattering},
url = {http://eudml.org/doc/111918},
year = {1986-1987},
}

TY - JOUR
AU - Melin, A.
TI - Some mathematical problems in inverse potential scattering
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1986-1987
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 6
LA - eng
KW - Schrödinger operator; odd dimensions; intertwining operators; small potentials; inverse scattering
UR - http://eudml.org/doc/111918
ER -

References

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  1. 1 M. Cheney, Inverse scattering in dimension 2, J. Math. Phys.25 (1984), 94-107. Zbl0554.35126MR728892
  2. 2 L.D. Faddeev, The inverse problem in quantum theory of acattering, J. Math. Phys.4 (1963), 72-104. Zbl0112.45101MR149843
  3. 3 L.D. Faddeev, Inverse problem of quantum scattering theory, II, J. Sov. Math.5 (1976), 334-396. Zbl0373.35014
  4. 4 A. Melin, Operator methods for inverse scattering on the real line, Comm. in Partial Differential Eqs.10 (1985), 677-766. Zbl0585.35077MR792566
  5. 5 A. Melin, Intertwining methods in the theory of inverse scattering, to appear in Int. J. of Quantum Chemistry. Zbl0618.35029
  6. 6 R.G. Newton, Inverse scattering II. Three dimensions, J. Math. Phys.21 (1980), 1698-1715. Zbl0456.35070MR575605
  7. 7 R.G. Newton, An inverse spectral problem in three dimensions, SIAM-AMS Proceedings14, 81-90. Zbl0554.35125MR773704

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