Abstract

We present two ways to obtain precise expressions for the commuting Hamiltonians of the integrable system regarded as a fermionic limit of the quantum Calogero–Sutherland system as the number of particles tends to infinity with some special values of the coupling constant \(\beta\). The construction is realized in the Fock space.

中文翻译：

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Calogero–Sutherland系统在自由费米子点

摘要

我们提出了两种方法来获得可积分系统的交换哈密顿量的精确表达式，该积分被视为量子Calogero-Sutherland系统的费米离子极限，因为粒子数趋于无穷大，且耦合常数\（\ beta \）有一些特殊值。该构造在Fock空间中实现。