### 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) |
---|---|

Pages (from-to) | 185-187 |

Number of pages | 3 |

Journal | Physics of Metals and Metallography |

Volume | 67 |

Issue number | 2 |

State | Published - 1989 |

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### ASJC Scopus subject areas

- Metals and Alloys

### Cite this

**Conditions under which localized states and resonances are absent in a Heisenberg ferromagnet.** / Mogil'ner, A. I.

Research output: Contribution to journal › Article

*Physics of Metals and Metallography*, vol. 67, no. 2, pp. 185-187.

}

TY - JOUR

T1 - Conditions under which localized states and resonances are absent in a Heisenberg ferromagnet

AU - Mogil'ner, A. I.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0024932055&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024932055&partnerID=8YFLogxK

M3 - Article

VL - 67

SP - 185

EP - 187

JO - Physics of Metals and Metallography

JF - Physics of Metals and Metallography

SN - 0031-918X

IS - 2

ER -