摘要
以自旋非对易为背景,研究了三维各向同性谐振子.将非对易效应看作微扰项,得到了基态和第一激发态能级的二级修正和波函数的一级修正.在得到的波函数中发现了自旋非对易引入了位形自由度和自旋自由度的纠缠,这是对易空间中完全没有的新现象.
Under the influence of spin noncommutativity, we investigate the three-dimensional isotropic harmonic oscillator. Considering the noncommutative effect as perturbation, we obtain the second-order correction of energy and the first-order correction of wave-function on the ground state and the first excited state. In the obtained total wave-functions, we find that the effect of spin noncommutativity produces entanglement between the configuration space and spin space, which is a novel phenomenon that never appeared in the ordinary commutative space.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第3期571-574,共4页
Journal of Sichuan University(Natural Science Edition)
基金
2012年贵州省高等学校教学内容和课程体系改革培育项目(黔教高发[2012]426)
关键词
自旋非对易
三维各向同性谐振子
量子纠缠
spin noncommutativity, three-dimensional isotropic harmonic oscillator, quantum entanglement
