Aliev, N. M. and Muminov, Mukhiddin É.
(2015)
*On the spectrum of the three-particle Hamiltonian on a unidimensional lattice.*
Siberian Advances in Mathematics, 25
(3).
pp. 155-168.
ISSN 1055-1344

Full text not available from this repository.

Official URL: http://dx.doi.org/10.3103/S1055134415030013

## Abstract

On a unidimensional lattice, the Hamiltonian of a system of three arbitrary particles is considered (with dispersion relations), where the particles interact pairwise via zero-range (contact) attractive potentials.We prove that the discrete spectrum of the corresponding Schrödinger operator is finite for all values of the total quasimomentum if the masses of two particles are finite. We also prove that the discrete spectrum of the Schrödinger operator is infinite if the masses of two particles in a three-particle system are infinite.

Item Type: | Article |
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Uncontrolled Keywords: | three-particle system on a lattice, Schrödinger operator, essential spectrum, discrete spectrum, compact operator |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 58687 |

Deposited By: | Haliza Zainal |

Deposited On: | 04 Dec 2016 04:07 |

Last Modified: | 06 Dec 2021 03:02 |

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