非对易OrbifoldR^4/G上的量子态及孤子解  

Quantum States and Soltion Solutions on Noncommutative Orbifold R^4/ G 

作　　者：石国芳[1] 邓辉[1] 熊华晖[1] 石康杰[1] 

机构地区：[1]西北大学现代物理研究所,西安710069

出　　处：《高能物理与核物理》2004年第10期1033-1039,共7页High Energy Physics and Nuclear Physics

基　　金：国家自然科学基金 (10 175 0 5 0 )资助~~

摘　　要：求得二维由广义坐标和广义动量构成的一般二次型哈密顿量的基态 ,由此可以求得各能级的本征态 .由于四维非对易空间在转动群G SO(4)下的坐标的不变二次型可以正则化为这类哈密顿量 ,因此得到了非对易空间R4 上转动不变的态矢量 .当G是SO(4)的有限子群时候它们是R4 /G这种非对易Orbifold上的态矢量 .由此可以得到其上的孤子解 .We obtain the ground state of the Hamiltonian which is constructed by general quadratic form of generalized coordinates and momenta. Consequently we can obtain eigenstates of each order energy. Invariant quadratic form with respect to coordinates under rotation subgroup G of SO (4) can be regularized as this kind of Hamiltonian, so we get the invariant ground state under rotation G . If G is a finite subgroup of SO (4),we will get the eigenvectors on noncommutative Orbifold R 4/ G .Based on this, we obtain the soliton solution on it.

关 键 词：对易 孤子解 二次型 哈密顿量 量子态 子群 基态 态矢量 四维 坐标 

分 类 号：O413[理学—理论物理]