Fast convergent study on potential－harmonic method of directly solving Schrodinger equation in few－body systems

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Fast convergent study obn potential—harmonc method of directly solving Schrodinger equation in few—body systems

The correlation-function potential-harmonic and generalized-Laguerre-function expansion method (CFPHGLF) of drectly solving the Schordinger equation in few -body systems is presened and applied to the n^1S(n=1-4) states of the helium atom.It can be found that the present eigenenergies for 2^1S,3^1S and 4^1S states are much better than those from the potential-harmonic and generalized-Laguerre-function method(PHGLF) previously published in Int J Quantum Chem,1995,55:47;and that they agree well with the exact Hylleraas Ci values.However,the eigenenergy for the gound state 1^1S is not as good as that from the PHGLF method because of omitting the potential harmonic(PH) basis relevent to electron-electron correlation.The results are also simply discussed relative to some other hyperspherical harmonic(HH) and PH methods.