caa a22 4500 467953333 CHVBK 20180405193744.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/PL00022150 doi (NATIONALLICENCE)springer-10.1007/PL00022150 (NATIONALLICENCE)springer-10.1007/s11232-005-0075-0 Wave functions of the toda chain with boundary interaction [Elektronische Daten] [N. Iorgov, V. Shadura] We give an integral representation of the wave functions of the quantum N-particle Toda chain with boundary interaction. In the case of the Toda chain with a one-boundary interaction, we obtain the wave function by an integral transformation from the wave functions of the open Toda chain. The kernel of this transformation is given explicitly in terms of Γ-functions. The wave function of the Toda chain with a two-boundary interaction is obtained from the previous wave functions by an integral transformation. In this case, the difference equation for the kernel of the integral transformation admits a separation of variables. The separated difference equations coincide with the Baxter equation. Springer Science+Business Media, Inc., 2005 quantum Toda chain nationallicence separation of variables nationallicence boundary interaction nationallicence Iorgov N. Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine aut Shadura V. Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 289-305 0040-5779 142:2<289 2005 142 11232 https://doi.org/10.1007/PL00022150 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00022150 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Iorgov N. Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine aut NATIONALLICENCE 700 1- Shadura V. Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 289-305 0040-5779 142:2<289 2005 142 11232 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0075-0 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer