3 citations · 3 across the 2 of their papers we have counts for
7 papers
On a Gauss-Givental Representation of Quantum Toda Chain Wave Function
A. Gerasimov, S. Kharchev, D. Lebedev +1
We propose group theory interpretation of the integral representation of the quantum open Toda chain wave function due to Givental. In particular we construct the representation of…
Representation theory and quantum integrability
A. Gerasimov, S. Kharchev, D. Lebedev
We describe new constructions of the infinite-dimensional representations of and for being and $\mathfrak{sl…
Representation Theory and the Quantum Inverse Scattering Method: The Open Toda Chain and the Hyperbolic Sutherland Model
A. Gerasimov, S. Kharchev, D. Lebedev
Using the representation theory of $\frak{gl}(N,\RR)$, we express the wave function of the $GL(N,\RR)$ Toda chain, which two of us recently obtained by the Quantum Inverse Scatteri…
Integral representation for the eigenfunctions of quantum periodic Toda chain
S. Kharchev, D. Lebedev
Integral representation for the eigenfunctions of quantum periodic Toda chain is constructed for N-particle case. The multiple integral is calculated using the Cauchy residue formu…
Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model
S. Kharchev
The review is devoted to the integrable properties of the Generalized Kontsevich Model which is supposed to be an universal matrix model to describe the conformal field theories wi…
Different Aspects of Relativistic Toda Chain
S. Kharchev, A. Mironov, A. Zhedanov
We demonstrate that the generalization of the relativistic Toda chain (RTC) is a special reduction of two-dimensional Toda Lattice hierarchy (2DTL). We also show that the RTC is ga…