The hyperspherical-harmonic (HH) method is a wonderful tool for directly solving the Schrǒdinger equation of atoms with two or more electrons.However, the HH degeneracy grows dramatically with the global angular mome...The hyperspherical-harmonic (HH) method is a wonderful tool for directly solving the Schrǒdinger equation of atoms with two or more electrons.However, the HH degeneracy grows dramatically with the global angular momentum, which prevents展开更多
The potential-harmonic and generalized Laguerre function method (PHGLF) was modified into the correlation-function potential-harmonic and generalized Laguerre function method (CFPHGLF). The eigenenergies for 21S, 31S ...The potential-harmonic and generalized Laguerre function method (PHGLF) was modified into the correlation-function potential-harmonic and generalized Laguerre function method (CFPHGLF). The eigenenergies for 21S, 31S and 41S states of helium-like systems from the CFPHGLF are much more accurate than those from the previous PHGLF, but the eigenenergy for the 11S is not as good as that from the PHGLF method. The results indicate that the electron-nucleus cusp plays more important role than the electron-electron cusp and the cluster structure for the loosely bound excited states, and that the electron-electron cusp is absolutely essential for the tightly bound ground state.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘The hyperspherical-harmonic (HH) method is a wonderful tool for directly solving the Schrǒdinger equation of atoms with two or more electrons.However, the HH degeneracy grows dramatically with the global angular momentum, which prevents
基金Project supported by the National Natural Science Foundation of China
文摘The potential-harmonic and generalized Laguerre function method (PHGLF) was modified into the correlation-function potential-harmonic and generalized Laguerre function method (CFPHGLF). The eigenenergies for 21S, 31S and 41S states of helium-like systems from the CFPHGLF are much more accurate than those from the previous PHGLF, but the eigenenergy for the 11S is not as good as that from the PHGLF method. The results indicate that the electron-nucleus cusp plays more important role than the electron-electron cusp and the cluster structure for the loosely bound excited states, and that the electron-electron cusp is absolutely essential for the tightly bound ground state.
