Scattering theory with highly singular oscillating potentials
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 24 (1976) no. 1, pp. 1-16.
@article{AIHPA_1976__24_1_1_0,
     author = {Baeteman, M. L. and Chadan, K.},
     title = {Scattering theory with highly singular oscillating potentials},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {1--16},
     publisher = {Gauthier-Villars},
     volume = {24},
     number = {1},
     year = {1976},
     mrnumber = {400975},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1976__24_1_1_0/}
}
TY  - JOUR
AU  - Baeteman, M. L.
AU  - Chadan, K.
TI  - Scattering theory with highly singular oscillating potentials
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1976
SP  - 1
EP  - 16
VL  - 24
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1976__24_1_1_0/
LA  - en
ID  - AIHPA_1976__24_1_1_0
ER  - 
%0 Journal Article
%A Baeteman, M. L.
%A Chadan, K.
%T Scattering theory with highly singular oscillating potentials
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1976
%P 1-16
%V 24
%N 1
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1976__24_1_1_0/
%G en
%F AIHPA_1976__24_1_1_0
Baeteman, M. L.; Chadan, K. Scattering theory with highly singular oscillating potentials. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 24 (1976) no. 1, pp. 1-16. http://archive.numdam.org/item/AIHPA_1976__24_1_1_0/

[1] D.B. Pearson, Helv. Phys. Acta, t. 47, 1974, p. 249. | MR

[2] D.B. Pearson, Commun. math. Phys., t. 40, 1975, p. 125. This paper contains a complete list of references to earler work. | MR

[3] R.G. Newton, Scattering theory of waves and particles, New York, McGraw-Hill, 1966, chap. 12. | MR

[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. | MR | Zbl

[5] V.B. Matveev, English translation. Theoreticheskaya i Matematicheskaya Fizika, t. 15, 1974, p. 574. | Zbl

[6] M.M. Skriganov, Tr. MIAN im V. A. Steklova, t. 125, 1973, p. 187. | MR | Zbl

[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. | MR

[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. | Zbl

[9] Ref. [3], chap. 20, and references cited therein.

[10] Ref. [4], chap. 12.

[11] N. Levinson, Phys. Rev., t. 89, 1953, p. 755. | Zbl

[12] Ref. [10], formulæ (12.33) and (12.34).

[13] Ref. [10], formula (12.32).