Maqola

Threshold Effects for the Generalized Friedrichs Model with the Perturbation of Rank One

S. N. LakaevDepartment of Mathematics, Samarkand State University, University Boulevard 15, Samarkand 140104, UzbekistanArsmah IbrahimDepartment of Mathematics, Faculty of Computer science and Mathematics, MARA University Technology, 40450 Shah Alam, Selangor Darul Ehsan, MalaysiaShaxzod KurbanovDepartment of Mathematics, Samarkand State University, University Boulevard 15, Samarkand 140104, Uzbekistan

Abstract and Applied Analysisjournal2012en

ABI

Annotatsiya

A family H μ ( p ), μ > 0, p ∈ 𝕋 2 of the Friedrichs models with the perturbation of rank one, associated to a system of two particles, moving on the two‐dimensional lattice ℤ 2 is considered. The existence or absence of the unique eigenvalue of the operator H μ ( p ) lying below threshold depending on the values of μ > 0 and p ∈ U δ (0) ⊂ 𝕋 2 is proved. The analyticity of corresponding eigenfunction is shown.

Mavzular

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Quantum chaos and dynamical systems

Identifikatorlar

DOI: 10.1155/2012/180953

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