Eigenfunctions of GL(N, ℝ) Toda chain: Mellin-Barnes representation

Eigenfunctions of GL(N, ℝ) Toda chain: Mellin-Barnes representation
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GL(N, ℝ) Toda 链的特征函数:Mellin-Barnes 表示

DOI:
10.1134/1.568323
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发表时间:
2000
期刊:
Journal of Experimental and Theoretical Physics Letters
影响因子:
--
通讯作者:
D. Lebedev
D. Lebedev
中科院分区:
--
文献类型:
--
作者:
S. Kharchev;D. Lebedev

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导出了GL(N,N-1,N-1)量子户田链的本征函数之间的递推关系。作为推论,构造了N粒子情形下量子开户田链本征函数的Mellin-Barnes积分表示.
The recurrent relations between the eigenfunctions of the GL(N, ℝ) and GL(N-1, ℝ) quantum Toda chains are derived. As a corollary, the Mellin-Barnes integral representation for the eigenfunctions of a quantum open Toda chain is constructed for the N-particle case.