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Scattering theory with highly singular oscillating potentials

M. L. Baeteman; K. Chadan

Annales de l'I.H.P. Physique théorique (1976)

  • Volume: 24, Issue: 1, page 1-16
  • ISSN: 0246-0211

How to cite

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Baeteman, M. L., and Chadan, K.. "Scattering theory with highly singular oscillating potentials." Annales de l'I.H.P. Physique théorique 24.1 (1976): 1-16. <http://eudml.org/doc/75886>.

@article{Baeteman1976,
author = {Baeteman, M. L., Chadan, K.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Gauthier-Villars},
title = {Scattering theory with highly singular oscillating potentials},
url = {http://eudml.org/doc/75886},
volume = {24},
year = {1976},
}

TY - JOUR
AU - Baeteman, M. L.
AU - Chadan, K.
TI - Scattering theory with highly singular oscillating potentials
JO - Annales de l'I.H.P. Physique théorique
PY - 1976
PB - Gauthier-Villars
VL - 24
IS - 1
SP - 1
EP - 16
LA - eng
UR - http://eudml.org/doc/75886
ER -

References

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  1. [1] D.B. Pearson, Helv. Phys. Acta, t. 47, 1974, p. 249. MR420033
  2. [2] D.B. Pearson, Commun. math. Phys., t. 40, 1975, p. 125. This paper contains a complete list of references to earler work. MR363285
  3. [3] R.G. Newton, Scattering theory of waves and particles, New York, McGraw-Hill, 1966, chap. 12. MR221823
  4. [4] V. De Alfaro and T. Regge, Potential Scattering, Amsterdam, North-Holland, 1965, chap. 3-5. Notice the difference of notations (k → - k) with us. Zbl0141.23202MR191316
  5. [5] V.B. Matveev, English translation. Theoreticheskaya i Matematicheskaya Fizika, t. 15, 1974, p. 574. Zbl0278.47004
  6. [6] M.M. Skriganov, Tr. MIAN im V. A. Steklova, t. 125, 1973, p. 187. Zbl0289.35065MR344705
  7. [7] W.O. Amrein and V. Georgescu, Helv. Phys. Acta, t. 47, 1974, p. 517. Theorem 2, remark at the end of the main text, theorem 5 in the Appendix, and the remark after this theorem. MR366278
  8. [8] V. Bargmann, Rev. Mod. Phys., t. 21, 1949, p. 488 ; H.E. Moses and S.F. Tuan, Nuovo Cimento, t. 13, 1959, p. 197. Zbl0035.42604
  9. [9] Ref. [3], chap. 20, and references cited therein. 
  10. [10] Ref. [4], chap. 12. 
  11. [11] N. Levinson, Phys. Rev., t. 89, 1953, p. 755. Zbl0050.22704
  12. [12] Ref. [10], formulæ (12.33) and (12.34). 
  13. [13] Ref. [10], formula (12.32). 

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