Commutators of Hilbert-Schmidt type and the scattering cross section

W. O. Amrein; D. B. Pearson

Annales de l'I.H.P. Physique théorique (1979)

  • Volume: 30, Issue: 2, page 89-107
  • ISSN: 0246-0211

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Amrein, W. O., and Pearson, D. B.. "Commutators of Hilbert-Schmidt type and the scattering cross section." Annales de l'I.H.P. Physique théorique 30.2 (1979): 89-107. <http://eudml.org/doc/76025>.

@article{Amrein1979,
author = {Amrein, W. O., Pearson, D. B.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hilbert-Schmidt operators; commutators; scattering by a short range potential; stationary state scattering theory},
language = {eng},
number = {2},
pages = {89-107},
publisher = {Gauthier-Villars},
title = {Commutators of Hilbert-Schmidt type and the scattering cross section},
url = {http://eudml.org/doc/76025},
volume = {30},
year = {1979},
}

TY - JOUR
AU - Amrein, W. O.
AU - Pearson, D. B.
TI - Commutators of Hilbert-Schmidt type and the scattering cross section
JO - Annales de l'I.H.P. Physique théorique
PY - 1979
PB - Gauthier-Villars
VL - 30
IS - 2
SP - 89
EP - 107
LA - eng
KW - Hilbert-Schmidt operators; commutators; scattering by a short range potential; stationary state scattering theory
UR - http://eudml.org/doc/76025
ER -

References

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  1. [1] W. Amrein, J.M. Jauch and K. Sinha, Scattering Theory in Quantum Mechanics, Benjamin, Reading1977. Zbl0376.47001MR495999
  2. [2] W. Amrein and D. Pearson, A time-dependent approach to the total scattering crosssection, Journ. of Physics A (to appear). Zbl0415.47006
  3. [3] D. Villarroel, Nuovo Cim., t. 70 A, 1970, p. 175. MR272299
  4. [4] S. Agmon, Goulaouic Helffer and Schwartz Seminar, École Polytechnique, Palaiseau, November 1978. 
  5. [5] M. Reed and B. Simon, Methods of Modern Mathematical Physics, I, Academic Press, 1974. Zbl0242.46001MR751959
  6. [6] I. Gohberg and M. Krein, « Introduction to the Theory of Linear Nonselfadjoint Operators », Am. Math. Soc., Providence, 1969. Zbl0181.13504MR246142
  7. [7] T. Kato, Perturbation Theory for Linear Operators, 2nd Edition, Springer Verlag, Berlin, 1976. Zbl0342.47009MR407617

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