A Discrete Analogue of Periodic Delta Bose Gas and Affine Hecke Algebra

スポンサーリンク

概要

• 論文の詳細を見る

• We consider an eigenvalue problem for a discrete analogue of the Hamiltonian of the non-ideal Bose gas with delta-potentials on a circle. It is a two-parameter deformation of the discrete Hamiltonian for joint moments of the partition function of the O'Connell-Yor semi-discrete polymer. We construct the propagation operator by using integral-reflection operators, which give a representation of the affine Hecke algebra. We also construct eigenfunctions by means of the Bethe ansatz method. In the case where one parameter of our Hamiltonian is equal to zero, the eigenfunctions are given by specializations of the Hall-Littlewood polynomials.

• 日本数学会函数方程式論分科会の論文

日本数学会函数方程式論分科会 | 論文

• The Landau-Lifshitz Flow of Maps into the Lobachevsky Plane
• Uniqueness of Solutions for Zakharov Systems
• Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application
• Affine Weyl Group Symmetry of the Garnier System
• Exact Eigenvalues and Eigenfunctions Associated with Linearization for Chafee-Infante Problem

もっと見る

スポンサーリンク