8 citations · 34 across the 22 of their papers we have counts for
24 papers
Scattering Theory in Quantum Mechanical Problems
Dmitri Yafaev
The aim of the lecture is to briefly describe the mathematical background of scattering theory for two- and three-particle quantum systems. We discuss basic objects of the theory:…
Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials
D. R. Yafaev
We find and discuss asymptotic formulas for orthonormal polynomials with recurrence coefficients . Our main goal is to consider the case where off-diagonal…
Second-Order Differential Operators in the Limit Circle Case
Dmitri R. Yafaev
We consider symmetric second-order differential operators with real coefficients such that the corresponding differential equation is in the limit circle case at infinity. Our goal…
Universal relations in asymptotic formulas for orthogonal polynomials
D. R. Yafaev
Orthogonal polynomials are oscillating functions of as for in the absolutely continuous spectrum of the corresponding Jacobi operator . We show t…
Scattering theory for Laguerre operators
D. R. Yafaev
We study Jacobi operators , , whose eigenfunctions are Laguerre polynomials. All operators have absolutely continuous simple spectra coinciding with the posit…
Asymptotic behavior of orthogonal polynomials. Singular critical case
D. R. Yafaev
Our goal is to find an asymptotic behavior as of the orthogonal polynomials defined by Jacobi recurrence coefficients (off-diagonal terms) and $ b_{…