Threshold scattering in two dimensions
Annales de l'I.H.P. Physique théorique, Tome 48 (1988) no. 2, pp. 175-204. 
@article{AIHPA_1988__48_2_175_0,
     author = {Boll\'e, D. and Gesztesy, F. and Danneels, C.},
     title = {Threshold scattering in two dimensions},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {175--204},
     publisher = {Gauthier-Villars},
     volume = {48},
     number = {2},
     year = {1988},
     mrnumber = {952661},
     zbl = {0696.35040},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1988__48_2_175_0/}
}
TY  - JOUR
AU  - Bollé, D.
AU  - Gesztesy, F.
AU  - Danneels, C.
TI  - Threshold scattering in two dimensions
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1988
SP  - 175
EP  - 204
VL  - 48
IS  - 2
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1988__48_2_175_0/
LA  - en
ID  - AIHPA_1988__48_2_175_0
ER  - 
%0 Journal Article
%A Bollé, D.
%A Gesztesy, F.
%A Danneels, C.
%T Threshold scattering in two dimensions
%J Annales de l'I.H.P. Physique théorique
%D 1988
%P 175-204
%V 48
%N 2
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1988__48_2_175_0/
%G en
%F AIHPA_1988__48_2_175_0
Bollé, D.; Gesztesy, F.; Danneels, C. Threshold scattering in two dimensions. Annales de l'I.H.P. Physique théorique, Tome 48 (1988) no. 2, pp. 175-204. http://archive.numdam.org/item/AIHPA_1988__48_2_175_0/

[1] M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, New York, Dover, 1972.

[2] S.K. Adhikari, Am. J. Phys., t. 54, 1986, p. 362. | MR

[3] S.K. Adhikari, W.G. Gibson, T.K. Lim, J. Chem. Phys., t. 85, 1986, p. 5580.

[4] S. Agmon, Ann. Scuola Norm. Sup. Pisa, Ser. IV, t. 2, 1975, p. 151. | Numdam | MR | Zbl

[5] A. Albeverio, D. Bollé, F. Gesztesy, R. Høegh-Krohn, L. Streit, Ann. Phys., t. 148, 1983, p. 308. | Zbl

[6] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, Ann. Inst. H. Poincaré, t. A 37, 1982, p. 1. | Numdam | Zbl

[7] P. Benilan, H. Brezis, M.G. Grandall, Ann. Scuola. Norm. Sup. Pisa, Ser. IV, t. 2, 1975, p. 523. | Numdam | Zbl

[8] D. Bollé, Sum rules in scattering theory and applications to statistical mechanics, in Mathematics + Physics: Lectures on Recent Results, vol. 2, L. Streit (ed.), Singapore, World Scientific, 1986, p. 84. | MR | Zbl

[9] D. Bollé, C. Danneels, T.A. Osborn, Local and global spectral shift functions in R2, Univ. of Leuven, Preprint-KUL-TF-86/16.

[10] D. Bollé, F. Gesztesy, Phys. Rev. Lett., t. 52, 1984, p. 1469.

[11] D. Bollé, F. Gesztesy, Phys. Rev., t. A 30, 1984, p. 1279.

[12] D. Bollé, F. Gesztesy, C. Danneels, S.F.J. Wilk, Phys. Rev. Lett., t. 56, 1986, p. 900.

[13] D. Bollé, F. Gesztesy, M. Klaus, J. Math. Anal. Appl., t. 122, 1987, p. 496. | MR | Zbl

[14] D. Bollé, F. Gesztesy, C. Nessmann, L. Streit, Rep. Math. Phys., t. 23, 1986, p. 373. | MR | Zbl

[15] D. Bollé, F. Gesztesy, S.F.J. Wilk, J. Operator Theory, t. 13, 1985, p. 3. | MR | Zbl

[16] M. Cheney, J. Math. Phys., t. 25, 1984, p. 94. | MR | Zbl

[17] M. Cheney, J. Math. Phys., t. 25, 1984, p. 1449. | MR | Zbl

[18] M. Cheney, J. Math. Phys., t. 26, 1985, p. 743. | MR | Zbl

[19] R. Froese, I. Herbst, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, J. d'Anal. Math., t. 41, 1982, p. 272. | Zbl

[20] I.M. Gelfand, G.E. Shilov, Generalized Functions I, New York, Academic, 1964. | Zbl

[21] F. Gesztesy, Perturbation theory for resonances in terms of Fredholm determinants in Resonances, Models and Phenomena, S. Albeverio, L. S. Ferreira, L. Streit (eds), Lecture Notes in Physics, t. 211, New York, Springer, 1984, p. 78. | MR

[22] F. Gesztesy, On stationary two-body scattering theory in two dimensions, in Models and Methods in Few-Body Physics, L. S. Ferreira, A. C. Fonseca, L. Streit (eds.), Lecture Notes in Physics, t. 273, New York, Springer, 1987, p. 609. | MR

[23] W.G. Gibson, Phys. Lett., t. A 117, 1986, p. 107. | MR

[24] W.G. Gibson, Phys. Rev., t. A 36, 1987, p. 564. | MR

[25] I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, New York, Academic, 1980.

[26] H. Holden, J. Operator Theory, t. 14, 1985, p. 263. | MR | Zbl

[27] A. Jensen, T. Kato, Duke Math. J., t. 46, 1979, p. 583. | MR | Zbl

[28] A. Jensen, Duke Math. J., t. 47, 1980, p. 57. | MR | Zbl

[29[ A. Jensen, J. Math. Anal. Appl., t. 101, 1984, p. 397. | Zbl

[30] M. Klaus, B. Simon, Ann. Phys., t. 130, 1980, p. 251. | MR | Zbl

[31] M. Murata, J. Funct. Anal., t. 49, 1982, p. 10. | MR | Zbl

[32] M. Murata, J. Funct. Anal., t. 56, 1984, p. 300. | MR | Zbl

[33] R.G. Newton, J. Math. Phys., t. 18 1977, p. 1348.

[34] R.G. Newton, J. Operator Theory, t. 10, 1983, p. 119. | MR | Zbl

[35] R.G. Newton, J. Math. Phys., t. 27, 1986, p. 2720. | MR | Zbl

[36] T.A. Osborn, D. Bollé, J. Math. Phys., t. 18, 1977, p. 432.

[37] T.A. Osborn, K.B. Sinha, D. Bollé, C. Danneels, J. Math. Phys., t. 26, 1985, p. 2796. | MR | Zbl

[38] S.H. Patil, Phys. Rev., t. A 22, 1980, p. 2400. | MR

[39] S.H. Patil, Phys. Rev., t. A 25, 1982, p. 2467.

[40] M. Reed, B. Simon, Methods of Modern Mathematical Physics III, Scattering Theory, New York, Academic, 1979. | MR | Zbl

[41] M. Reed, B. Simon, Methods of Modern Mathematical Physics IV, Analysis of Operators, New York, Academic, 1978. | MR | Zbl

[42] N. Seto, Publ. RIMS, Kyoto Univ., t. 9, 1974, p. 429. | MR | Zbl

[43] N. Shenk, D. Thoe, J. Math. Anal. Appl., t. 36, 1971, p. 313. | MR | Zbl

[44] N. Shenk, D. Thoe, J. Math. Anal. Appl., t. 37, 1972, p. 467. | MR | Zbl

[45] B. Simon, Ann. Phys., t. 97, 1976, p. 279. | MR | Zbl