A tauberian theorem in quantum mechanical inverse scattering theory

O. Brander; K. Chadan

Annales de l'I.H.P. Physique théorique (1980)

  • Volume: 33, Issue: 3, page 283-300
  • ISSN: 0246-0211

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Brander, O., and Chadan, K.. "A tauberian theorem in quantum mechanical inverse scattering theory." Annales de l'I.H.P. Physique théorique 33.3 (1980): 283-300. <http://eudml.org/doc/76097>.

@article{Brander1980,
author = {Brander, O., Chadan, K.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Tauberian theorem; oscillating potentials; quantum mechanical inverse scattering theory; non-relativistic S-wave Schrödinger equation; spherically symmetric potential; scattering matrix; singularity; iteration series},
language = {eng},
number = {3},
pages = {283-300},
publisher = {Gauthier-Villars},
title = {A tauberian theorem in quantum mechanical inverse scattering theory},
url = {http://eudml.org/doc/76097},
volume = {33},
year = {1980},
}

TY - JOUR
AU - Brander, O.
AU - Chadan, K.
TI - A tauberian theorem in quantum mechanical inverse scattering theory
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 33
IS - 3
SP - 283
EP - 300
LA - eng
KW - Tauberian theorem; oscillating potentials; quantum mechanical inverse scattering theory; non-relativistic S-wave Schrödinger equation; spherically symmetric potential; scattering matrix; singularity; iteration series
UR - http://eudml.org/doc/76097
ER -

References

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  1. [1] L.D. Faddeyev, J. Math. Phys., t. 4, 1963, p. 72. 
  2. [2] M.L. Baeteman, K. Chadan, Ann. Inst. Henri Poincaré, t. A 24, 1976, p. 1. MR400975
  3. [3] M. Combescure, J. Ginibre, Ibid., t. A 24, 1976, p. 17. Zbl0336.47007MR400976
  4. [4] M.L. Baeteman, K. Chadan, Nucl. Phys., t. A 255, 1975, p. 35. MR395544
  5. [5] V.B. Matveev, English translation. Theor. Math. Phys. U. S. S. R., t. 15, 1974, p. 574. This paper contains reference to earlier work of Matveev, Skriganov and others. Zbl0278.47004
  6. [6] K. Chadan, A. Martin, Commun. Math. Phys., t. 70, 1979, p. 1. MR553174
  7. [7] K. Chadan, P.C. Sabatier, The Inverse Problems in Quantum Scattering Theory. Springer, Heidelberg, 1977. Zbl0363.47006MR522847
  8. [8] Z.S. Agranovich, V.A. Marchenko, The Inverse Problem of Scattering Theory. English translation, Gordon and Breach, New York, 1963. Zbl0117.06003MR162497
  9. [9] M.G. Krein, Uspekhi Mat. Nauk, N. S., t. 13, 1958, p. 3 ; Am. Math. Soc. Transl., t. 22, 2, 1962, p. 163. Zbl0119.09601MR102720
  10. [10] R. Paley, N. Wiener, Fourier Transforms in the Complex Domain. Am. Math. Soc.Providence, 1934, p. 63 ; for a proof see ref. 11. Zbl0011.01601MR1451142JFM60.0345.02
  11. [11] N.I. Akhiezer, Lectures on the Theory of Approximation. English translation, Ungar, New York, 1956, chapter VI. 

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