no. 1
2-magnon scattering in the Heisenberg model
Annales de l'I.H.P. Physique théorique, Tome 67 (1997) no. 1, pp. 91-107 
@article{AIHPA_1997__67_1_91_0,
     author = {Graf, Gian Michele and Schenker, Daniel},
     title = {2-magnon scattering in the {Heisenberg} model},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {91--107},
     year = {1997},
     publisher = {Gauthier-Villars},
     volume = {67},
     number = {1},
     mrnumber = {1463007},
     zbl = {0879.47043},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1997__67_1_91_0/}
}
TY  - JOUR
AU  - Graf, Gian Michele
AU  - Schenker, Daniel
TI  - 2-magnon scattering in the Heisenberg model
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1997
SP  - 91
EP  - 107
VL  - 67
IS  - 1
PB  - Gauthier-Villars
UR  - https://www.numdam.org/item/AIHPA_1997__67_1_91_0/
LA  - en
ID  - AIHPA_1997__67_1_91_0
ER  - 
%0 Journal Article
%A Graf, Gian Michele
%A Schenker, Daniel
%T 2-magnon scattering in the Heisenberg model
%J Annales de l'I.H.P. Physique théorique
%D 1997
%P 91-107
%V 67
%N 1
%I Gauthier-Villars
%U https://www.numdam.org/item/AIHPA_1997__67_1_91_0/
%G en
%F AIHPA_1997__67_1_91_0
Graf, Gian Michele; Schenker, Daniel. 2-magnon scattering in the Heisenberg model. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) no. 1, pp. 91-107. https://www.numdam.org/item/AIHPA_1997__67_1_91_0/

[1] H.A. Bethe, Zur Theorie der Metalle, Z. Physik, Vol. 71, 1931, p. 205. | Zbl | JFM

[2] F. Bloch, Zur Theorie des Ferromagnetismus, Z. Physik, Vol. 61, 1930, p. 206. | JFM

[3] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Springer, 1987. | Zbl

[4] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien (Algèbres de von Neumann), Gauthier-Villars, 1969. | Zbl

[5] F.J. Dyson, General Theory of Spin Wave Interactions, Phys. Rev., Vol. 102, 1956, p. 1217. | Zbl | MR

[6] J. Hanus, Bound States in the Heisenberg Ferromagnet, Phys. Rev. Letters, Vol. 11, 1963, p. 336. | MR

[7] K. Hepp, Scattering Theory in the Heisenberg Ferromagnet, Phys. Rev. B, Vol. 5, 1972, p. 95.

[8] B. Helffer and J. Sjöstrand, Equation de Schrödinger avec champs magnétique et équation de Harper in Schrödinger Operators, H. HOLDEN, A. JENSEN, eds., Springer, 1989. | Zbl | MR

[9] W. Hunziker and I.M. Sigal, The general theory of N-body quantum systems, to appear. | MR

[10] S. Lojasiewicz, Introduction to complex analytic geometry, Birkhäuser, 1991. | Zbl | MR

[11] J.F. Perez, Bound and Scattering States in the Heisenberg Ferromagnet, Ph. D. Thesis, Swiss Federal Institute of Technology Zurich, 1973.

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

[13] I.M. Sigal and A. Soffer, Local decay and propagation estimates for time-dependent and time-independent Hamiltonians, Princeton University preprint, 1988.

[14] R.F. Streater, The Heisenberg Ferromagnet as a Quantum Field Theory, Comm. Math. Phys., Vol. 6, 1967, p. 233. | MR

[15] R.F. Streater, Spin-wave scattering, in Scattering Theory in Mathematical Physics, J. A. LAVITA and J.-P. MARCHAND eds., Reidel, Dordrecht, The Netherlands, 1974. | Zbl

[16] G.J. Watts, Theory of Spin-Wave Scattering, Ph.D. Thesis Bedford College London, 1971, unpublished.

[17] M. Wortis, Bound States of two Spin Waves in the Heisenberg Ferromagnet, Phys. Rev., Vol. 132, 1963, p. 85. | MR