3 papers
math.QA2004
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…
math.QA2002
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…
hep-th1999
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…