Zobrazeno 1 - 10
of 374
pro vyhledávání: '"Spiridonov, V. P."'
Autor:
Sarkissian, G. A., Spiridonov, V. P.
Publikováno v:
J. Geom. Phys. 203 (2024) 105274
We consider some new limits for the elliptic hypergeometric integrals on root systems. After the degeneration of elliptic beta integrals of type I and type II for root systems $A_n$ and $C_n$ to the hyperbolic hypergeometric integrals, we apply the l
Externí odkaz:
http://arxiv.org/abs/2407.05348
Publikováno v:
J. Stat. Mech. (2023) 103202
We discuss a general relation between the solitons and statistical mechanics and show that the partition function of the normal random matrix model can be obtained from the multi-soliton solutions of the two-dimensional Toda lattice hierarchy in a sp
Externí odkaz:
http://arxiv.org/abs/2309.09016
Autor:
Krotkov, D. I., Spiridonov, V. P.
We derive finite difference equations of infinite order for theta hypergeometric series and investigate the space of their solutions. In general, such infinite series diverge, we describe some constraints on the parameters when they do converge. In p
Externí odkaz:
http://arxiv.org/abs/2307.08002
Publikováno v:
Theoret. and Math. Phys. 213, no. 1 (2022), 1406-1422
We show that the complex hypergeometric function describing $6j$-symbols for $SL(2,\mathbb{C})$ group is a special degeneration of the $V$-function -- an elliptic analogue of the Euler-Gauss $_2F_1$ hypergeometric function. For this function, we deri
Externí odkaz:
http://arxiv.org/abs/2111.06873
Autor:
Sarkissian, G. A., Spiridonov, V. P.
Publikováno v:
J. Phys. A: Math. Theor. 55 (2022) 385203
General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. The derived equation is generalized to the Hamiltonian eigenvalue problem for new rational integrable $N$-body systems emerging f
Externí odkaz:
http://arxiv.org/abs/2105.15031
Autor:
Spiridonov, V. P.
Publikováno v:
Physics of Particles and Nuclei, 52, no. 2 (2021) 274-289
A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given. New coherent states of the harmonic oscillator related to the Fourie
Externí odkaz:
http://arxiv.org/abs/2009.02360
Autor:
Spiridonov, V. P.
Publikováno v:
"Partition Functions and Automorphic Forms'', Lecture Notes of the Dubna Winter School (Eds. V.A. Gritsenko, V.P. Spiridonov), Moscow Lectures, vol. 5. Springer, Heidelberg (2020), pp. 271-318
We give a brief account of the key properties of elliptic hypergeometric integrals -- a relatively recently discovered top class of transcendental special functions of hypergeometric type. In particular, we describe an elliptic generalization of Eule
Externí odkaz:
http://arxiv.org/abs/1912.12971
Autor:
Spiridonov, V. P.
Publikováno v:
J. Phys. A: Math. Theor. 52 (2019) 355201
An elliptic Bailey lemma is formulated on the basis of the univariate rarefied elliptic beta integral. It leads to a generalized operator star-triangle relation and a new solution of the Yang-Baxter equation written as an integral operator with a rar
Externí odkaz:
http://arxiv.org/abs/1904.12046
Autor:
Derkachov, S. E., Spiridonov, V. P.
Publikováno v:
Theor. Math. Phys. 198 (1) (2019), 29-47 (Teor. Mat. Fiz. 198 (1) (2019) 32-53)
We study 6j-symbols, or Racah coefficients for tensor products of infinite-dimensional unitary principal series representations of the group SL(2,C). These symbols were constructed earlier by Ismagilov and we rederive his result (up to some slight di
Externí odkaz:
http://arxiv.org/abs/1711.07073
Autor:
Spiridonov, V. P.
This is author's Habilitation Thesis (Dr. Sci. dissertation) submitted at the beginning of September 2004. It is written in Russian and is posted due to the continuing requests for the manuscript. The content: 1. Introduction, 2. Nonlinear chains wit
Externí odkaz:
http://arxiv.org/abs/1610.01557