NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2020, 11 (1), P. 25–29
Finite Toda lattice and classical moment problem
A. S. Mikhaylov – Saint Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 7, Fontanka, 191023 Saint Petersburg; Saint Petersburg State University, Saint Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg, 199034 Russia; mikhaylov@pdmi.ras.ru
V. S. Mikhaylov – Saint Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 7, Fontanka, 191023 Saint Petersburg, Russia; vsmikhaylov@pdmi.ras.ru
We study the problem of computing the solution to finite Toda lattice. Specifically, we describe the evolution of moments of the spectral measure
of a Jacobi matrix entering in the Lax pair.
Keywords: Toda lattice, moment problem, Jacobi matrices.
DOI 10.17586/2220-8054-2020-11-1-25-29
