Ti19+离子1s23d-1s2nf的跃迁能和振子强度

用全实加关联方法计算了类锂Ti19+离子1s23d～1s2nf(4≤n≤9)的跃迁能、振子强度及1s2nf(n≤9)态的精细结构劈裂.通过确定该Rydberg系列的量子数亏损,进而实现对任意高激发态(n≥10)的能量的可靠预言.将上述分立态振子强度与单通道量子亏损理论相结合,得到在电离阈附近束缚态间的跃迁振子强度与束缚态-连续态跃迁的振子强度密度,从而实现了Ti19+离子量子跃迁特性的全能域理论预言.     

Ti19+离子1s23d-1s2nf的跃迁能和振子强度

用全实加关联方法计算了类锂Ti19 离子1s23d-1s2nf(4≤n≤9)的跃迁能、振子强度及1s2nf(n≤9)态的精细结构劈裂.依据单通道量子亏损理论,确定了该Rydberg系列的量子数亏损.用这些作为能量的缓变函数的量子亏损,可以实现对任意高激发态(n≥10)的能量的可靠预言.将这些分立态振子强度与单通道量子亏损理论相结合,得到在电离阈附近束缚态间的偶极跃迁振子强度以及束缚态-连续态跃迁的振子强度密度,从而实现了Ti19 离子量子跃迁特性的全能域理论预言.     

The quantum pressure correction to the excitation spectrum of the trapped superfluid Fermi gases in a BEC-BCS crossover

Using quantum hydrodynamic approaches, we study the quantum pressure correction to the collective excitation spectrum of the interacting trapped superfluid Fermi gases in the BEC-BCS crossover. Based on a phenomenological equation of state, we derive hydrodynamic equations of the system in the whole BEC-BCS crossover regime. Beyond the Thomas--Fermi approximation, expressions of the frequency corrections of collective modes for both spherical and axial symmetric traps excited in the BEC-BCS crossover are given explicitly. The corrections of the eigenfrequencies due to the quantum pressure and their dependence on the inverse interaction strength, anisotropic parameter and particle numbers of the condensate are discussed in detail.