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

Ｆａｓｔｃｏｎｖｅｒｇｅｎｔｓｔｕｄｙｏｎｐｏｔｅｎｔｉａｌ－ｈａｒｍｏｎｉｃｍｅｔｈｏｄｏｆｄｉｒｅｃｔｌｙｓｏｌｖｉｎｇＳｃｈｒｏｄｉｎｇｅｒｅｑｕａｔｉｏｎｉｎｆｅｗ－ｂｏｄｙｓｙｓｔｅｍｓＷａｎｇＹｉ－Ｘｕａｎ（王沂轩）ａｎｄＤｅｎｓＣｏｎｇ...

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 befound 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) previouslypublished in Int J Quantum Chem, 1995, 55:47; and that they agree well with the exactHylleraas 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.