caa a22 4500 467910359 CHVBK 20180406152847.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s11232-006-0001-0 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0001-0 Marshakov A. Lebedev Physics Institute, RAS, Moscow, Russia aut Matrix Model and Stationary Problem in the Toda Chain [Elektronische Daten] [A. Marshakov] We analyze the stationary problem for the Toda chain and show that the arising geometric data exactly correspond to the multisupport solutions of the one-matrix model with a polynomial potential. We calculate the Hamiltonians and symplectic forms for the first nontrivial examples explicitly and perform the consistency checks. We formulate the corresponding quantum problem and discuss some of its properties and prospects. Springer Science+Business Media, Inc., 2006 matrix models nationallicence complex geometry nationallicence integrable systems nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 1-12 0040-5779 146:1<1 2006 146 11232 https://doi.org/10.1007/s11232-006-0001-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0001-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Marshakov A. Lebedev Physics Institute, RAS, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 146/1(2006-01-01), 1-12 0040-5779 146:1<1 2006 146 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer