Maqola

On spectrum and threshold analysis for discrete Schrödinger operator

Zahriddin MuminovSamarkand Branch of Institute of Mathematics, The Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanSh. S. LakaevSamarkand Branch of Institute of Mathematics, The Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Annotatsiya

We consider a family of the discrete Schrödinger operators Hλμ, in the d (d ≥ 3)-dimensional lattice with a wide class of dispersion relation and a potential constructed by a combination of the Kronecker delta function and the shift operator, depending on two parameters. The exstence of eigenvalues, threshold eigenvalues and threshold resonances and their dependence on the parameters of the operator and dimension of the lattice are explicitly derived.

Mavzular

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Quantum Mechanics and Non-Hermitian Physics

Identifikatorlar

DOI: 10.1063/5.0056951

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