Muminov, M. E. and Aliev, N. M.
(2015)
*Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice.*
Theoretical And Mathematical Physics, 182
(3).
pp. 381-396.
ISSN 4016-25

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## Abstract

We consider a system of three arbitrary quantum particles on a three-dimensional lattice interacting via attractive pair-contact potentials and attractive potentials of particles at the nearest-neighbor sites. We prove that the Hamiltonian of the corresponding three-particle system has infinitely many eigenvalues. We also list different types of attractive potentials whose eigenvalues can be to the left of the essential spectrum, in a gap in the essential spectrum, and in the essential spectrum of the considered operator.

Item Type: | Article |
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Subjects: | A General Works |

ID Code: | 58315 |

Deposited By: | Haliza Zainal |

Deposited On: | 04 Dec 2016 12:07 |

Last Modified: | 15 Sep 2017 16:58 |

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