标题： 源身份和Inozemtsev型系统的核函数 显示英文标题

标题： Source identity and kernel functions for Inozemtsev-type systems

摘要： 伊诺采夫哈密顿量是定义BC_N三角量子Calogero-Sutherland模型的微分算子的椭圆推广，其本征值方程是Heun微分方程的自然多变量推广。 我们给出了伊诺采夫哈密顿量及其Chalykh-Feigin-Veselov-Sergeev型变形的核函数。 我们的主要结果是求解了一个广义伊诺采夫哈密顿量的热型方程，这是所有这些核函数的来源。 给出了应用，包括推导伊诺采夫哈密顿量的简单精确本征函数和本征值。 显示英文摘要

摘要： The Inozemtsev Hamiltonian is an elliptic generalization of the differential operator defining the BC_N trigonometric quantum Calogero-Sutherland model, and its eigenvalue equation is a natural many-variable generalization of the Heun differential equation. We present kernel functions for Inozemtsev Hamiltonians and Chalykh-Feigin-Veselov-Sergeev-type deformations thereof. Our main result is a solution of a heat-type equation for a generalized Inozemtsev Hamiltonian which is the source for all these kernel functions. Applications are given, including a derivation of simple exact eigenfunctions and eigenvalues for the Inozemtsev Hamiltonian.