### Abstract

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 language | English (US) |
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Pages (from-to) | 185-187 |

Number of pages | 3 |

Journal | Physics of Metals and Metallography |

Volume | 67 |

Issue number | 2 |

State | Published - 1989 |

Externally published | Yes |

### ASJC Scopus subject areas

- Metals and Alloys

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## Cite this

*Physics of Metals and Metallography*,

*67*(2), 185-187.