A discrete analogue of periodic delta Bose gas and affine Hecke algebra
A discrete analogue of periodic delta Bose gas and affine Hecke algebra
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DOI：
10.1619/fesi.57.107
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发表时间：
2012-09
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影响因子：
--
通讯作者：
Y. Takeyama
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文献类型：
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作者：
Y. Takeyama
本文考虑了具有δ势的非理想玻色气体的哈密顿量的一个离散模拟的本征值问题。它是O 'Connell-Yor半离散聚合物配分函数的联合矩的离散哈密顿量的双参数变形。我们通过使用积分反射算子来构造传播算子，它给出了仿射Hecke代数的表示。我们还构造了本征函数的Bethe anomaly方法。
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.