2-magnon scattering in the Heisenberg model
Annales de l'I.H.P. Physique théorique, Tome 67 (1997) no. 1, pp. 91-107.
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     title = {2-magnon scattering in the {Heisenberg} model},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
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     number = {1},
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     zbl = {0879.47043},
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     url = {http://www.numdam.org/item/AIHPA_1997__67_1_91_0/}
}
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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. http://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. | JFM | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[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