Complete Set of Eigenfunctions of the Quantum Toda Chain

被引：0
|
作者：
Daniel An
机构：
[1] SUNY Maritime College,
来源：
Letters in Mathematical Physics | 2009年 / 87卷
关键词：
81R50; 81R05; 35P10; quantum integrable systems; Whittaker functions; Baxter equation; Agmon metric;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The integral representation of the eigenfunctions of quantum periodic Toda chain constructed by Kharchev and Lebedev is revisited. We prove that Pasquier and Gaudin’s solutions of the Baxter equation provides a complete set of eigenfunctions under this integral representation. This will, in addition, show that the joint spectrum of commuting Hamiltonians of the quantum periodic Toda chain is simple.
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页码：209 / 223
页数：14
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