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

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.