Classical and Quantum Partition Functions of the Calogero—Moser—Sutherland Model
Classical and Quantum Partition Functions of the Calogero—Moser—Sutherland Model
复制标题
Calogero-Moser-Sutherland 模型的经典和量子配分函数
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
P. Choquard
中科院分区：
文献类型：
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作者：
P. Choquard
本文提出了一种新的初等方法，将经典CSM模型和量子CSM模型的状态方程表示为由相应的正则配分函数构造的辅助函数所满足的一阶非线性微分方程的解。对于经典情况，微分方程（18）是新的。对于量子情形，微分方程（34）被证明与Sutherland得到的Yang-Yang型解等价。这种等价性为我们的微分方程在动量空间中的局部性质提供了一种解释。
A new and elementary method is proposed for obtaining the equations of state of the classical and quantum CSM models as solutions of first-order nonlinear differential equations satisfied by auxiliary functions constructed from the corresponding canonical partition functions. For the classical case, the differential equation (18) is new. For the quantum case the differential equation (34) is shown to be equivalent with Yang—Yang’s type of solution obtained by Sutherland. This equivalence provides an explanation for the local character, in momentum space, of our differential equation.