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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…
Quantization of string theory for
S. Kharchev, A. Marshakov
We consider the canonical quantization scheme for ( -) string theories and compare it with what is known from matrix model approach. We derive explicitly a trivia…