Novel correlations in two dimensions: Some exact solutions.
Novel correlations in two dimensions: Some exact solutions.
复制标题
二维的新颖相关性：一些精确的解决方案。
作者：
Murthy;Bhaduri;Sen
我们构造了一个在二维空间中具有二体和三体相互作用的新多体哈密顿量，并获得了任意数量粒子的精确多体基态。该基态具有新颖的成对相关性。还发现了一类激发态的精确解。这些激发态显示出类似于一维的卡洛杰罗-萨瑟兰模型的能谱。当投影到圆环上时，该模型简化为著名的三角萨瑟兰模型的模拟。
We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.