Muminov, M. E. and Shermatova, Y. M.
(2016)
*On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice.*
Russian Mathematics, 60
(1).
pp. 22-29.
ISSN 1066-369X

Full text not available from this repository.

Official URL: http://dx.doi.org/10.3103/S1066369X16010035

## Abstract

On three-dimensional lattice we consider a system of three quantum particles (two of them are identical (fermions) and the third one is of another nature) that interact with the help of paired short-range gravitational potentials. We prove the finiteness of a number of bound states of respective Schrödinger operator in a case, when potentials satisfy some conditions and zero is a regular point for two-particle sub-Hamiltonian. We find a set of values for particles masses values such that Schrödinger operator may have only finite number of eigenvalues lying to the left of essential spectrum.

Item Type: | Article |
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Uncontrolled Keywords: | discrete spectrum, essential spectrum, Schrödinger operator |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 70094 |

Deposited By: | Narimah Nawil |

Deposited On: | 22 Nov 2017 00:45 |

Last Modified: | 22 Nov 2017 00:45 |

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