Maqola

Puiseux series expansion for an eigenvalue of the generalized Friedrichs model with perturbation of rank 1

S. N. LakaevDepartment of Mathematics, Samarkand State University, Samarkand, UzbekistanMaslina DarusSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan, MalaysiaShaxzod KurbanovDepartment of Mathematics, Samarkand State University, Samarkand, Uzbekistan

Journal of Physics A Mathematical and Theoreticaljournal2013en

ABI

Annotatsiya

A family Hμ(p), μ > 0, of the generalized Friedrichs model with perturbation of rank 1, associated with a system of two particles, moving on the one-dimensional lattice is considered. The existence of a unique eigenvalue E(μ, p), of the operator Hμ(p) lying below the essential spectrum is proved. For any p from a neighborhood of the origin, the Puiseux series expansion for eigenvalue E(μ, p) at the point μ = μ(p) ⩾ 0 is found. Moreover, the asymptotics for E(μ, p) is established as μ → +∞.

Mavzular

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

Identifikatorlar

DOI: 10.1088/1751-8113/46/20/205304

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