标题： 可区分粒子的卡利加罗模型 显示英文标题

标题： Calogero Models for Distinguishable Particles

摘要： 受二维拓扑量子模型以及Haldane关于不同种类粒子互易统计的定义的启发，我们提出了一类新的依赖于粒子标记的耦合常数$g_{ij}$的一维 Calogero 模型$1/r_{ij}^2$。我们解决了基态问题，并展示了如何构造某些激发态类。 显示英文摘要

摘要： Motivated by topological bidimensional quantum models for distinguishable particles, and by Haldane's definition of mutual statistics for different species of particles, we propose a new class of one-dimensional $1/r_{ij}^2$ Calogero model with coupling constants $g_{ij}$ depending on the labels of the particles. We solve the groundstate problem, and show how to build some classes of excited states.