| Autor: |
Lakaev, S. N., Bozorov, I. N. |
| Předmět: |
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| Zdroj: |
Uzbek Mathematical Journal; 2019, Issue 3, p85-95, 11p |
| Abstrakt: |
We consider the two particle discrete Schrödinger operators hμλ(k); k ∈ Td, d ≥ 3 associated to the hamiltonian of a system describing a motion of two quantum particles with attractive interaction energies one site μ ≥ 0 and neighboring sites λ ≥ 0 on d-dimensional lattice Zd. The number of eigenvalues of the operator hμλ(0); 0 ∈ Td and their location are established. Moreover, sharp dependence the number of eigenvalues to the dimension of the lattice Zd is found. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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