Conditions under which localized states and resonances are absent in a Heisenberg ferromagnet

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The problem of localized bound states of quasiparticles in crystals has aroused interest recently. The relatively simple case of a system of weakly interacting quasiparticles, the number of which remains unchanged, has not yet been examined. An example of such a system is given by magnons in a three-dimensional Heisenberg ferromagnet with large spin at lattice sites (S≫1, N≪2S). In a previous investigation of Schrodinger equations for N particles which interact by weak pair short-range potentials, it has been shown that there are no bound states (the theorem of Jorrio and Carroll. In this work the author gives the analogous result for a system of weakly interacting quasiparticles in a three-dimensional crystal.

Original languageEnglish (US)
Pages (from-to)185-187
Number of pages3
JournalPhysics of Metals and Metallography
Issue number2
StatePublished - Dec 1 1989


ASJC Scopus subject areas

  • Condensed Matter Physics
  • Materials Chemistry

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