### Abstract

In this chapter we begin our analysis of localization in multi-particle Anderson tight-binding models with interaction. We already mentioned that the principal difficulty encountered when working with multi-particle systems is the structure of the external random potential term (3.3) in the Hamiltonian combined with the presence of interaction between particles (see Eq. (3.8) below). To tackle this obstacle, we develop a multi-particle version of the MSA (in short, the MPMSA) by scrutinizing and—when necessary—modifying the subsequent steps of the single-particle MSA scheme.

Original language | English (US) |
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Title of host publication | Progress in Mathematical Physics |

Publisher | Birkhauser Boston |

Pages | 137-170 |

Number of pages | 34 |

DOIs | |

State | Published - Jan 1 2014 |

### Publication series

Name | Progress in Mathematical Physics |
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Volume | 65 |

ISSN (Print) | 1544-9998 |

### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics

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## Cite this

Chulaevsky, V., & Suhov, Y. (2014). Multi-particle eigenvalue concentration bounds. In

*Progress in Mathematical Physics*(pp. 137-170). (Progress in Mathematical Physics; Vol. 65). Birkhauser Boston. https://doi.org/10.1007/978-1-4614-8226-0_3