| Autor: |
Lakaev, S. N., Khamidov, Sh. I., Lakaev, Sh. S. |
| Předmět: |
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| Zdroj: |
Uzbek Mathematical Journal; 2019, Issue 4, p112-122, 11p |
| Abstrakt: |
We consider a quantum particle moving in the two-dimensional lattice Z2 and interacting with a indefinite sign external field ûμ,ʎ#956;,ʎ ∊ R. We establish a partition of the plan (#956;,ʎ) so that in each its connected component the associated discrete Schr¨odinger operator H#956;,ʎ = H0+V#956;,ʎ can have only a definite (constant) number of eigenvalues, which are situated both below the bottom of the essential spectrum and above its top. Moreover, we found exact number (at most three and at least one) of eigenvalues of the operator H#956;,ʎ in each connected component. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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