### 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 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics

### Cite this

*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

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

**Multi-particle eigenvalue concentration bounds.** / Chulaevsky, Victor; Suhov, Yuri.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Multi-particle eigenvalue concentration bounds

AU - Chulaevsky, Victor

AU - Suhov, Yuri

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85019218321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019218321&partnerID=8YFLogxK

U2 - 10.1007/978-1-4614-8226-0_3

DO - 10.1007/978-1-4614-8226-0_3

M3 - Chapter

AN - SCOPUS:85019218321

T3 - Progress in Mathematical Physics

SP - 137

EP - 170

BT - Progress in Mathematical Physics

PB - Birkhauser Boston

ER -