Threshold scattering in two dimensions
Bollé, D. ; Gesztesy, F. ; Danneels, C.
Annales de l'I.H.P. Physique théorique, Tome 49 (1988), p. 175-204 / Harvested from Numdam
@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},
     volume = {49},
     year = {1988},
     pages = {175-204},
     mrnumber = {952661},
     zbl = {0696.35040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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 49 (1988) pp. 175-204. http://gdmltest.u-ga.fr/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 832730

[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 397194 | Zbl 0315.47007

[5] A. Albeverio, D. Bollé, F. Gesztesy, R. Høegh-Krohn, L. Streit, Ann. Phys., t. 148, 1983, p. 308. | Zbl 0542.35056

[6] S. Albeverio, F. Gesztesy, R. Høegh-Krohn, Ann. Inst. H. Poincaré, t. A 37, 1982, p. 1. | Numdam | Zbl 0528.35076

[7] P. Benilan, H. Brezis, M.G. Grandall, Ann. Scuola. Norm. Sup. Pisa, Ser. IV, t. 2, 1975, p. 523. | Numdam | Zbl 0314.35077

[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 864210 | Zbl 0692.35071

[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 877834 | Zbl 0617.35105

[14] D. Bollé, F. Gesztesy, C. Nessmann, L. Streit, Rep. Math. Phys., t. 23, 1986, p. 373. | MR 913481 | Zbl 0641.35050

[15] D. Bollé, F. Gesztesy, S.F.J. Wilk, J. Operator Theory, t. 13, 1985, p. 3. | MR 768299 | Zbl 0567.47008

[16] M. Cheney, J. Math. Phys., t. 25, 1984, p. 94. | MR 728892 | Zbl 0554.35126

[17] M. Cheney, J. Math. Phys., t. 25, 1984, p. 1449. | MR 745757 | Zbl 0554.35094

[18] M. Cheney, J. Math. Phys., t. 26, 1985, p. 743. | MR 785691 | Zbl 0573.35080

[19] R. Froese, I. Herbst, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, J. d'Anal. Math., t. 41, 1982, p. 272. | Zbl 0512.35062

[20] I.M. Gelfand, G.E. Shilov, Generalized Functions I, New York, Academic, 1964. | Zbl 0115.33101

[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 777333

[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 899147

[23] W.G. Gibson, Phys. Lett., t. A 117, 1986, p. 107. | MR 853262

[24] W.G. Gibson, Phys. Rev., t. A 36, 1987, p. 564. | MR 901718

[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 808292 | Zbl 0593.35031

[27] A. Jensen, T. Kato, Duke Math. J., t. 46, 1979, p. 583. | MR 544248 | Zbl 0448.35080

[28] A. Jensen, Duke Math. J., t. 47, 1980, p. 57. | MR 563367 | Zbl 0437.47009

[29[ A. Jensen, J. Math. Anal. Appl., t. 101, 1984, p. 397. | Zbl 0564.35024

[30] M. Klaus, B. Simon, Ann. Phys., t. 130, 1980, p. 251. | MR 610664 | Zbl 0455.35112

[31] M. Murata, J. Funct. Anal., t. 49, 1982, p. 10. | MR 680855 | Zbl 0499.35019

[32] M. Murata, J. Funct. Anal., t. 56, 1984, p. 300. | MR 743843 | Zbl 0551.35021

[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 715561 | Zbl 0527.35062

[35] R.G. Newton, J. Math. Phys., t. 27, 1986, p. 2720. | MR 861335 | Zbl 0605.47008

[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 808494 | Zbl 0582.47013

[38] S.H. Patil, Phys. Rev., t. A 22, 1980, p. 2400. | MR 591644

[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 529429 | Zbl 0405.47007

[41] M. Reed, B. Simon, Methods of Modern Mathematical Physics IV, Analysis of Operators, New York, Academic, 1978. | MR 493421 | Zbl 0401.47001

[42] N. Seto, Publ. RIMS, Kyoto Univ., t. 9, 1974, p. 429. | MR 340846 | Zbl 0276.35013

[43] N. Shenk, D. Thoe, J. Math. Anal. Appl., t. 36, 1971, p. 313. | MR 294910 | Zbl 0249.47004

[44] N. Shenk, D. Thoe, J. Math. Anal. Appl., t. 37, 1972, p. 467. | MR 308616 | Zbl 0229.35072

[45] B. Simon, Ann. Phys., t. 97, 1976, p. 279. | MR 404846 | Zbl 0325.35029