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

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

Wang Yi-Xuan
Deng Cong-Hao
Nuclear Science and TechniquesVol.7, No.2pp.95-98Published in print 01 May 1996
19200

The correlation-function potential-harmonic and generalized-Laguerre-function expansion method (CFPHGLF) of directly solving the Schrodinger equation in few-body systems is presented and applied to the n1S (n=1-4) states of the helium atom. It can be found that the present eigenenergies for 21S, 31S and 41S 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 ground state 11S 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.

Hyperspherical coordinatesPotential-harmonicFast convergentEigenenergyHelium atom
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