382 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP369 papers
- The University of TokyoJP33 papers
- Korea Institute for Advanced StudyKR13 papers
- The University of OsakaJP12 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Nagoya UniversityJP10 papers
- Seoul National UniversityKR10 papers
- Yukawa Institute for Theoretical PhysicsJP10 papers
- Fujian Normal UniversityCN8 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP8 papers
- National Research University Higher School of EconomicsRU8 papers
- Hiroshima UniversityJP7 papers
14 papers · 1 filter
Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution
T. Kojima, V. Korepin, N. Slavnov
Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential…
The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model
Kouichi Takemura, Denis Uglov
Using a technique based on the Yangian Gelfand-Zetlin algebra and the associated Yangian Gelfand-Zetlin bases we construct an orthogonal basis of eigenvectors in the Calogero-Suthe…
Quantum toroidal algebras and their vertex representations
Yoshihisa Saito
We change the definition of the vertex representations. As a result the vertex representations has one parameter.
Determinant representation for dynamical correlation functions of the Quantum nonlinear Schrödinger equation
T. Kojima, V. Korepin, N. Slavnov
The foundation for the theory of correlation functions of exactly solvable models is determinant representation. Determinant representation permit to describe correlation functions…
Boundary ABF Models
Tetsuji Miwa, Robert Weston
We diagonalise the transfer matrix of boundary ABF models using bosonized vertex operators. We compute the boundary S-matrix and check the scaling limit against known results for p…
The Calogero-Sutherland Model and Generalized Classical Polynomials
T. H. Baker, P. J. Forrester
Multivariable generalizations of the classical Hermite, Laguerre and Jacobi polynomials occur as the polynomial part of the eigenfunctions of certain Schrödinger operators for Calo…
Maxwell-Bloch equation and Correlation function for penetrable Bose gas
T. Kojima, V. Korepin
We consider the quantum nonlinear Schrödinger equation in one space and one time dimension. We are interested in the non-free-fermionic case. We consider static temperature-depende…
Lukyanov's Screening Operators for the Deformed Virasoro Algebra
M. Jimbo, M. Lashkevich, T. Miwa +1
The BRST property of Lukyanov's screening operators in the bosonic representation of the deformed Virasoro algebra is proven.
Bosonization of vertex operators for the $A^{(1)_{n-1}$ face model
Y. Asai, M. Jimbo, T. Miwa +1
We present a free boson realization of the vertex operators and their duals for the solvable SOS lattice model of type. We discuss a possible connection to the calc…
Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions
T. Kojima
We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor…
Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system
F. W. Nijhoff, V. B. Kuznetsov, E. K. Sklyanin +1
The classical r-matrix structure for the generic elliptic Ruijsenaars-Schneider model is presented. It makes the integrability of this model as well as of its discrete-time version…
Deformation Quantization and Nambu Mechanics
Giuseppe Dito, Moshe Flato, Daniel Sternheimer +1
Starting from deformation quantization (star-products), the quantization problem of Nambu Mechanics is investigated. After considering some impossibilities and pushing some analogi…
Semi-infinite wedges and the conformal limit of the fermionic Calogero-Sutherland Model with spin
Denis Uglov
The conformal limit over an anti-ferromagnetic vacuum of the fermionic spin Calogero-Sutherland Model is derived by using the wedge product formalism. The space of st…
QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
Michio Jimbo, Tetsuji Miwa
An integral solution to the quantum Knizhnik-Zamolodchikov (KZ) equation with is presented. Upon specialization, it leads to a conjectural formula for correlation functi…