2-magnon scattering in the Heisenberg model
Graf, Gian Michele ; Schenker, Daniel
Annales de l'I.H.P. Physique théorique, Tome 67 (1997), p. 91-107 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1997-01-01
@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},
     volume = {67},
     year = {1997},
     pages = {91-107},
     mrnumber = {1463007},
     zbl = {0879.47043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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) pp. 91-107. http://gdmltest.u-ga.fr/item/AIHPA_1997__67_1_91_0/

[1] H.A. Bethe, Zur Theorie der Metalle, Z. Physik, Vol. 71, 1931, p. 205. | JFM 57.1587.01 | Zbl 0002.37205

[2] F. Bloch, Zur Theorie des Ferromagnetismus, Z. Physik, Vol. 61, 1930, p. 206. | JFM 56.1319.02

[3] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Springer, 1987. | Zbl 0619.47005

[4] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien (Algèbres de von Neumann), Gauthier-Villars, 1969. | Zbl 0175.43801

[5] F.J. Dyson, General Theory of Spin Wave Interactions, Phys. Rev., Vol. 102, 1956, p. 1217. | MR 78231 | Zbl 0072.23601

[6] J. Hanus, Bound States in the Heisenberg Ferromagnet, Phys. Rev. Letters, Vol. 11, 1963, p. 336. | MR 155645

[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 1037319 | Zbl 0699.35189

[9] W. Hunziker and I.M. Sigal, The general theory of N-body quantum systems, to appear. | MR 1332036

[10] S. Lojasiewicz, Introduction to complex analytic geometry, Birkhäuser, 1991. | MR 1131081 | Zbl 0747.32001

[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 493421 | Zbl 0401.47001

[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 228244

[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 0285.00007

[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 155644