将Calogero模型映射到Anyon模型上
Mapping the Calogero model on the Anyon model
摘要:
我们明确地将谐振阱中的N体一维Calogero本征态映射到谐振阱中的二维任意子模型的N体本征态的最低朗道能级扇区。该映射是实现在卷积核,作为输入的自由Calogero模型的散射本征态的无限线上,这是在一个运营商制定。
英文摘要:
We explicitly map the N-body one dimensional Calogero eigenstates in a harmonic well to the lowest Landau level sector of N-body eigenstates of the two dimensional anyon model in a harmonic well. The mapping is achieved in terms of a convolution kernel that uses as input the scattering eigenstates of the free Calogero model on the infinite line, which are obtained in an operator formulation.
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