Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
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 ma...
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my.utm.583152021-11-03T08:50:39Z http://eprints.utm.my/id/eprint/58315/ Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice Muminov, M. E. Aliev, N. M. Q Science (General) 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. 2015 Article PeerReviewed 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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Q Science (General) Muminov, M. E. Aliev, N. M. Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
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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. |
| format |
Article |
| author |
Muminov, M. E. Aliev, N. M. |
| author_facet |
Muminov, M. E. Aliev, N. M. |
| author_sort |
Muminov, M. E. |
| title |
Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
| title_short |
Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
| title_full |
Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
| title_fullStr |
Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
| title_full_unstemmed |
Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
| title_sort |
discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice |
| publishDate |
2015 |
| url |
http://eprints.utm.my/id/eprint/58315/ |
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1717093382181879808 |