Direct Solutions of the Schrodinger Equationsfor 1,3P States of the Heliumlike Systems
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Graphical Abstract
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Abstract
The correlation function-hyperspherical harmonic(CFHH)and generalized Laguerrefunction (GLF) method has been used to directly solve the equations of the n1,3P(n=1,2,3)low-lying excited states for the heliumlike systems.The eigenenergies of the helium atom are,-2.13317 Eh(13P),-2.12383 Eh(11P),-2.05810Eh(23P),-2.05516 Eh(21P),-2.03235 Eh(33P)and-2.03109Eh(31P),respectively,which agree well with the literature data at the sixth figure.The result shows that the CFHHGLF method is also well siuted for the 1,3P states of the helium-like systems.Moreover,the symmetric base functions for L=1,and analytic expressions of the related matrix elements are also given.
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