Transition function for the Toda chain model
نویسنده
چکیده
The method of Λ-operators developed by S. Derkachov, G. Korchemsky, A. Ma-nashov is applied to a derivation of eigenfunctions for the open Toda chain. The Sklyanin measure is reproduced using diagram technique developed for these Λ-operators. The properties of the Λ-operators are studied. This approach to the open Toda chain eigenfunctions reproduces Gauss-Givental representation for these eigenfunctions.
منابع مشابه
A New Nonlinear Specification of Structural Breaks for Money Demand in Iran
In a structural time series regression model, binary variables have been used to quantify qualitative or categorical quantitative events such as politic and economic structural breaks, regions, age groups and etc. The use of the binary dummy variables is not reasonable because the effect of an event decreases (increases) gradually over time not at once. The simple and basic idea in this paper i...
متن کاملA multi objective mixed integer programming model for design of a sustainable meat supply chain network
In the recent decades, rapid population growth has led to the significant increase in food demand. Food supply chain has always been one of the most important and challenging management issues. Product with short age, especially foodstuffs, is the most problematic challenges for supply chain management. These challenges are mainly due to the diversity in the number of these goods, the special n...
متن کاملSeiberg-Witten Theory and Extended Toda Hierarchy
The quasiclassical solution to the extended Toda chain hierarchy, corresponding to the deformation of the simplest Seiberg-Witten theory by all descendants of the dual topological string model, is constructed explicitly in terms of the complex curve and generating differential. The first derivatives of prepotential or quasiclassical tau-function over the extra times, extending the Toda chain, a...
متن کاملPredicting the Air Quality Index of Industrial Areas in an Industrialized City in India Using Adopting Markov Chain Model
Introduction: The rapid urbanization coupled with industrial development in Indian cities has led to air pollution that causes adverse effects on the health of human beings. So, it is crucial to track the quality of air in industrial areas of a city to insulate the public from harmful air pollutants. The present study examined and predicted air quality index levels in industrial areas located ...
متن کاملA pr 2 00 2 Representation Theory and Quantum Inverse Scattering Method : Open Toda Chain and Hyperbolic Sutherland Model
Using the representation theory of gl(N,R) we explain the expression through integrals for GL(N,R) Toda chain wave function obtained recently by Quantum Inverse Scattering Method. The main tool is the generalization of the Gelfand-Tsetlin method to the case of the infinite-dimensional representations of gl(N,R) . The interpretation of this generalized construction in terms of the coadjoint orbi...
متن کامل