啁啾微波场中里德伯锂原子的相干激发与控制

运用含时多态展开方法和B-样条函数研究了微波场中里德伯锂原子高激发态的性质,得到锂原子量子态n=70-75,l=0-5的能量,并分析了里德伯锂原子高激发态n=70-75,l=0-5在微波场中的跃迁几率.结果表明:通过优化微波场参数可以实现量子系统从初始态到目标态的完全跃迁,且在跃迁过程中,每个l态都起至关重要的作用.     

Population coherent control of Rydberg potassium atom via adiabatic passage

The time-dependent multilevel approach(TDMA) and B-spline expansion technique are used to study the coherent population transfer between the quantum states of a potassium atom by a single frequency-chirped microwave pulse.The Rydberg potassium atom energy levels of n=6-15,l=0-5 states in zero field are calculated and the results are in good agreement with other theoretical values.The time evolutions of the population transfer of the six states from n=70 to n=75 in different microwave fields are obtained.The results show that the coherent control of the population transfer from the lower states to the higher ones can be accomplished by optimizing the microwave pulse parameters.     

与n-colour有序分拆相关的两个组合恒等式

给出了正整数ν分拆成m个分部量的n-colour有序分拆数的递推公式,并由这些递推关系得到了两个组合恒等式.     

微波场中里德堡锂原子的高激发跃迁

运用含时多态展开方法研究微波场中里德堡锂原子高激发态的性质,得到锂原子在微波场中的跃迁几率,实现对量子态的操纵与控制。结果表明：选择合适的振幅、频率等参数,可以实现布居数在量子态之间的完全跃迁。     

关于小教专业开设《初等数论》课程的思考

对于师范院校的小教专业开设《初等数论》课程的必要性，教学现状等方面进行了一些探讨．并且提出了该课程的教学建议，以便更好的培养适应新时期小学教育的教师。     

Population coherent control of Rydberg sodium atom in microwave field

The B-spline expansion technique and the time-dependent multilevel approach (TDMA) are used to study the interaction between microwave field and sodium atoms. The Rydberg sodium atom energy levels of p states in zero field are calculated, and the results are in good agreement with the other theoretical ones. The time evolutions during the population transfers of the five states from n=75 to n=79 in different microwave fields are obtained. The results show that the coherent control of the population transfer from the lower states to the higher ones can be accomplished by optimizing the microwave pulse parameters.     

微波场中里德堡锂原子的高激发跃迁

运用含时多态展开方法研究微波场中里德堡锂原子高激发态的性质,得到锂原子在微波场中的跃迁几率,实现对量子态的操纵与控制.结果表明:选择合适的振幅、频率等参数,可以实现布居数在量子态之间的完全跃迁.     

啁啾微波场中里德伯钠原子高激发态的布居跃迁

采用含时多态展开方法, 结合B样条函数和单电子原子模型势研究微波场中钠原子里德伯高激发态的性质, 得到钠原子的能级结构及在微波场中的布居数迁移, 实现对量子态的操纵与控制. 结果表明: 含时多态展开方法结合B样条函数和单电子原子模型势是有效研究微波场中碱金属原子性质的一种方法; 选择合适的啁啾率、振幅等参数, 可以实现布居数在量子态之间的完全迁移和量子态囚禁.     

Population coherent control of a Rydberg sodium atom in a microwave field

The B-spline expansion technique and the time-dependent multilevel approach (TDMA) are used to study the interaction between a microwave field and sodium atoms. The Rydberg sodium atom energy levels of p states in zero field are calculated, and the results are in good agreement with the other theoretical ones. The time evolutions during the population transfers of the five states from n = 75 to n = 79 in different microwave fields are obtained. The results show that the coherent control of the population transfer from the lower states to the higher ones can be accomplished by optimizing the microwave pulse parameters.     

二次曲线内接六边形及其应用

本文给出了六边形内接于二次曲线的一个充要条件,此条件把点与二次曲线的结合问题转化为点分有向线段的分比问题来解决,从而为解决中学几何中点共线、线共点、点与二次曲线的结合性、比值积为定值等问题带来了方便。