外磁场作用下双粒子体系的能级研究  

Energy Level Study of Two-particle System under External Magnetic Field

作　　者：裴魏魏 张海丰[1] 刘明达[2] 韩海生[1] PEI Wei-wei;ZHANG Hai-feng;LIU Ming-da;HAN Hai-sheng(College of Natural Science , Jiamusi University, Jiamusi Heilongjiang 154007,China;Second Affiliated Hospital , Jiamusi University, Jiamusi Heilongjiang 154002,China)

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154002 [2]佳木斯大学附属第二医院,黑龙江佳木斯154002

出　　处：《佳木斯大学学报（自然科学版）》2019年第4期671-673,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金项目(51141009);佳木斯大学科学技术研究面上项目(Ljz2012-14);佳木斯大学大学生创新创业训练计划项目(2019xj25);黑龙江省省属本科高校基本科研业务费科研项目资助(2018-KYYWF-0956)

摘　　要：通过精确求解和微扰理论的方法给出了外磁场作用下双粒子体系的能级分布,研究结果表明在弱磁场条件下,总自旋S为守恒量,s1和s2则不守恒;在强磁场条件下,s1z,s2z,Sz均为守恒量;在一般情况下,仅Sz为守恒量,s1z,s2z及S2均不守恒,Sz相同而S不同的状态有可能发生耦合而形成能量本征态;在强磁场极限和弱磁场(以至无磁场)极限,均出现能级对Sz的简并。the energy level distribution of two-particle system under the action of external magnetic field is given by means of accurate solution and perturbation theory. The research results show that under the condition of weak magnetic field, the total spin S is a conserved quantity, and the s1 and s 2 is not conserved. Under the condition of strong magnetic field, the s1z , s 2z and S z are conserved quantities. In general, only S Z is conserved quantities, the s1z , s 2z and S 2 are not conserved. The same S Z and different S states may be coupled to form the energy Eigen states. In the limit of strong or weak magnetic field (even without magnetic field), there is a degeneracy of energy level.

关 键 词：磁场 双粒子体系 微扰论 

分 类 号：O431[机械工程—光学工程]