77 citations · 470 across the 20 of their papers we have counts for
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Baxter equations and Deformation of Abelian Differentials
F. A. Smirnov
In this paper the proofs are given of important properties of deformed Abelian differentials introduced earlier in connection with quantum integrable systems. The starting point of…
Affine Jacobians of Spectral Curves and Integrable Models
F. A. Smirnov, V. Zeitlin
We explicitly construct the algebraic model of affine Jacobian of a generic algebraic curve of high genus and use it to compute the Euler characteristic of the Jacobian and investi…
On quantization of affine Jacobi varieties of spectral curves
F. A. Smirnov, V. Zeitlin
A quantum integrable model related to is considered. A reduced model is introduced which allows interpretation in terms of quantized affine Jacobi variety. Close…
Separation of variables for quantum integrable models related to
Feodor A. Smirnov
In this paper we construct separated variables for quantum integrable models related to the algebra . This generalizes the results by Sklyanin for .
Dual Baxter equations and quantization of Affine Jacobian
Feodor A. Smirnov
A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with…
Cohomologies of Affine Jacobi Varieties and Integrable Systems
A. Nakayashiki, F. A. Smirnov
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to cal…
Structure of Matrix Elements in Quantum Toda Chain
F. A. Smirnov
We consider the quantum Toda chain using the method of separation of variables. We show that the matrix elements of operators in the model are written in terms of finite number of…