The low energy expansion in nonrelativistic scattering theory
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 37 (1982) no. 1, pp. 1-28.
@article{AIHPA_1982__37_1_1_0,
     author = {Albeverio, S. and Gesztesy, F. and H{\o}egh-Krohn, R.},
     title = {The low energy expansion in nonrelativistic scattering theory},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {1--28},
     publisher = {Gauthier-Villars},
     volume = {37},
     number = {1},
     year = {1982},
     mrnumber = {667880},
     zbl = {0528.35076},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1982__37_1_1_0/}
}
TY  - JOUR
AU  - Albeverio, S.
AU  - Gesztesy, F.
AU  - Høegh-Krohn, R.
TI  - The low energy expansion in nonrelativistic scattering theory
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1982
SP  - 1
EP  - 28
VL  - 37
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1982__37_1_1_0/
LA  - en
ID  - AIHPA_1982__37_1_1_0
ER  - 
%0 Journal Article
%A Albeverio, S.
%A Gesztesy, F.
%A Høegh-Krohn, R.
%T The low energy expansion in nonrelativistic scattering theory
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1982
%P 1-28
%V 37
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1982__37_1_1_0/
%G en
%F AIHPA_1982__37_1_1_0
Albeverio, S.; Gesztesy, F.; Høegh-Krohn, R. The low energy expansion in nonrelativistic scattering theory. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 37 (1982) no. 1, pp. 1-28. http://www.numdam.org/item/AIHPA_1982__37_1_1_0/

[1] S. Albeverio, R. Høegh-Krohn, L. Streit, J. Math. Phys., t. 18, 1977, p. 907. | Zbl

[2] S. Albeverio, R. Høegh-Krohn, L. Streit, J. Math. Phys., t. 21, 1980, p. 1636. | MR | Zbl

[3] S. Albeverio, J.E. Fenstad, R. Høegh-Krohn, Trans. Am. Math. Soc., t. 252, 1979, p. 275. | MR | Zbl

[4] S. Albeverio, R. Høegh-Krohn, J. Operator Theory, t. 6, 1981, p. 313. | MR | Zbl

[5] S. Albeverio, R. Høegh-Krohn, T.T. Wu, Phys. Lett., t. 83A, 1981, p. 105.

[6] S. Albeverio, R. Høegh-Krohn, Perturbation of resonances in quantum mechanics, to appear in J. Math. An. Appl. | Zbl

[7] W.O. Amrein, J.M. Jauch, K.B. Sinha, Scattering Theory in Quantum Mechanics. Reading: Benjamin, 1977. | MR | Zbl

[8] A. Angeletti, Lett. Math. Phys., t. 4, 1980, p. 495. | MR | Zbl

[9] J.E. Avron, A. Grossmann, R. Høegh-Krohn, Exact Formulas for Coherent Nuclear Bragg Scattering (preprint), 1980.

[10] F.A. Berezin, L.D. Faddeev, Sov. Math., t. 2, 1961, p. 372. | MR | Zbl

[11] M. Breitenecker, H.R. Grümm, Commun. Math. Phys., t. 15, 1969, p. 337. | MR | Zbl

[12] A.A. Coria, Shrinking potentials in the Schrödinger equation. Ph. D. Dissertation, Princeton University, 1978.

[13] G. Flamand, Cargèse lectures in theoretical physics, p. 247, New York, Gordon and Breach, 1967. | MR

[14] C.N. Friedman, J. Funct. Anal., t. 10, 1972, p. 346. | Zbl

[15] F. Gesztesy, L. Pittner, Two-body scattering for Schrödinger operators involving zero-range interactions. To appear in Rep. Math. Phys. | MR | Zbl

[16] A. Grossmann, R. Høegh-Krohn, M. Mebkhout, J. Math. Phys., t. 21, 1980, p. 2376. | MR

[17] A. Grossmann, Høegh-Krohn, M. Mebkhout, Commun. Math. Phys., t. 77, 1980, p. 87. | MR

[18] A. Grossmann, T.T. Wu, J. Math. Phys., t. 2, 1961, p. 710. | Zbl

[19] A. Grossmann, T.T. Wu, J. Math. Phys., t. 3, 1962, p. 684. | Zbl

[20] G.A. Hagedorn, Commun. Math. Phys., t. 65, 1979, p. 181. | MR | Zbl

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

[22] T. Kato, Perturbation theory for linear operators. New York, Springer, 1966. | MR | Zbl

[23] W. Kirsch, F. Martinelli, On the spectrum of Schrödinger operators with a random potential, to appear in Comm. Math. Phys. | MR | Zbl

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

[25] M. Klaus, B. Simon, Commun. Math. Phys., t. 78, 1980, p. 153. | MR | Zbl

[26] S.T. Kuroda, An introduction to scattering theory. Dept. Mathematics, Aarhus University. Lecture Notes, series No. 51, 1978. | MR | Zbl

[27] K. Meetz, J. Math. Phys., t. 3, 1962, p. 690. | Zbl

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

[29] R.G. Newton, J. Math. Phys., t. 18, 1977, p. 1348. | MR

[30] R.G. Newton, J. Math. Phys., t. 18, 1977, p. 1582.

[31] J. Rauch, J. Funct. Anal., t. 35, 1980, p. 304. | MR | Zbl

[32] M. Reed, B. Simon, Methods of modern mathematical physics. II. Fourier analysis, self-adjointness. New York, Academic Press, 1975. | MR | Zbl

[33] M. Reed, B. Simon, Methods of modern mathematical physics. III. Scattering Theory. New York, Academic Press, 1979. | MR | Zbl

[34] M. Reed, B. Simon, Methods of modern mathematical physics. IV. Analysis of operators. New York, Academic Press, 1978. | MR | Zbl

[35] B. Simon, Quantum mechanics for Hamiltonians defined as quadratic forms. Princeton, University press, 1971. | MR | Zbl

[36] B. Simon, J. Funct. Anal., t. 25, 1977, p. 338. | Zbl

[37] B. Simon, Int. J. Quantum. Chem., t. 14, 1978, p. 529.

[38] B. Simon, Convergence in Trace Ideals. To appear in Proc. Am. Math. Soc. | MR | Zbl

[39] E.C. Svendsen, Perturbations of partial differential operators by means of boundary conditions. Ph. D. Dissertation, University of Illinois, Urbana, 1978.

[40] W. Thirring, Lehrbuch der Mathematischen Physik. III. Quantenmechanik von Atomen und Molekülen. Wien, Springer, 1979. | MR | Zbl

[41] L.E. Thomas, J. Math. Phys., t. 20, 1979, p. 1848. | MR | Zbl

[42] F. Zirilli, Boll. U. M. I., t. 15 B, 1978, p. 386. | MR | Zbl

[43] J. Zorbas, J. Math. Phys., t. 21, 1980, p. 840. | MR | Zbl