2-magnon scattering in the Heisenberg model

Gian Michele Graf; Daniel Schenker

Annales de l'I.H.P. Physique théorique (1997)

  • Volume: 67, Issue: 1, page 91-107
  • ISSN: 0246-0211

How to cite


Graf, Gian Michele, and Schenker, Daniel. "2-magnon scattering in the Heisenberg model." Annales de l'I.H.P. Physique théorique 67.1 (1997): 91-107. <http://eudml.org/doc/76764>.

author = {Graf, Gian Michele, Schenker, Daniel},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {scattering theory; Heisenberg model; interacting particles on a lattice},
language = {eng},
number = {1},
pages = {91-107},
publisher = {Gauthier-Villars},
title = {2-magnon scattering in the Heisenberg model},
url = {http://eudml.org/doc/76764},
volume = {67},
year = {1997},

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
PB - Gauthier-Villars
VL - 67
IS - 1
SP - 91
EP - 107
LA - eng
KW - scattering theory; Heisenberg model; interacting particles on a lattice
UR - http://eudml.org/doc/76764
ER -


  1. [1] H.A. Bethe, Zur Theorie der Metalle, Z. Physik, Vol. 71, 1931, p. 205. Zbl0002.37205JFM57.1587.01
  2. [2] F. Bloch, Zur Theorie des Ferromagnetismus, Z. Physik, Vol. 61, 1930, p. 206. Zbl56.1319.02JFM56.1319.02
  3. [3] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Springer, 1987. Zbl0619.47005
  4. [4] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien (Algèbres de von Neumann), Gauthier-Villars, 1969. Zbl0175.43801
  5. [5] F.J. Dyson, General Theory of Spin Wave Interactions, Phys. Rev., Vol. 102, 1956, p. 1217. Zbl0072.23601MR78231
  6. [6] J. Hanus, Bound States in the Heisenberg Ferromagnet, Phys. Rev. Letters, Vol. 11, 1963, p. 336. MR155645
  7. [7] K. Hepp, Scattering Theory in the Heisenberg Ferromagnet, Phys. Rev. B, Vol. 5, 1972, p. 95. 
  8. [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. Zbl0699.35189MR1037319
  9. [9] W. Hunziker and I.M. Sigal, The general theory of N-body quantum systems, to appear. MR1332036
  10. [10] S. Lojasiewicz, Introduction to complex analytic geometry, Birkhäuser, 1991. Zbl0747.32001MR1131081
  11. [11] J.F. Perez, Bound and Scattering States in the Heisenberg Ferromagnet, Ph. D. Thesis, Swiss Federal Institute of TechnologyZurich, 1973. 
  12. [12] M. Reed and B. Simon, Methods of modern mathematical physics IV. Analysis of operators, Academic Press, 1978. Zbl0401.47001MR493421
  13. [13] I.M. Sigal and A. Soffer, Local decay and propagation estimates for time-dependent and time-independent Hamiltonians, Princeton University preprint, 1988. 
  14. [14] R.F. Streater, The Heisenberg Ferromagnet as a Quantum Field Theory, Comm. Math. Phys., Vol. 6, 1967, p. 233. MR228244
  15. [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. 
  16. [16] G.J. Watts, Theory of Spin-Wave Scattering, Ph.D. ThesisBedford CollegeLondon, 1971, unpublished. Zbl26.0960.01
  17. [17] M. Wortis, Bound States of two Spin Waves in the Heisenberg Ferromagnet, Phys. Rev., Vol. 132, 1963, p. 85. MR155644

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