INVESTIGADORES
GASANEO Gustavo
artículos
Título:
Accurate Hylleraas-like functions for the He atom with correct cusp conditions
Autor/es:
K. V. RODRIGUEZ AND G. GASANEO
Revista:
Journal of Physics B: Atomic, Molecular and Optical Physics
Editorial:
IOP
Referencias:
Año: 2005 vol. 38 p. 259 - 267
Resumen:
In this letter, a set of ground state wavefunctions for the He atom is given.
The functions are constructed in terms of exponential and power series as
similar as possible to the Hylleraas functions of Chandrasekhar and Herzberg
(1955 Phys. Rev. 98 1050). The accuracy of the calculated energies is found
to be about 10.4 au and all the cusp conditions at the Coulomb singularities
are satisfied. The nine-parameter functions proposed here are found to have
better local energy than those given by the 6 and 14 terms Hylleraas functions
of Chandrasekhar. The mean value of various functions evaluated with the
different proposals shows their good quality. These properties highly qualify
the function to be used as an alternative to the Chandrasekhar functions in
collisional problems. The whole set of functions given here can be considered
as an alternative to the proposals of Chandrasekhar (1955 Phys. Rev. 98 1050),
Bonham and Kohl (1966 J. Chem. Phys. 45 2471) and Le Sech (1997 J. Phys.
B: At. Mol. Opt. Phys. 30 L47).Phys. Rev. 98 1050). The accuracy of the calculated energies is found
to be about 10.4 au and all the cusp conditions at the Coulomb singularities
are satisfied. The nine-parameter functions proposed here are found to have
better local energy than those given by the 6 and 14 terms Hylleraas functions
of Chandrasekhar. The mean value of various functions evaluated with the
different proposals shows their good quality. These properties highly qualify
the function to be used as an alternative to the Chandrasekhar functions in
collisional problems. The whole set of functions given here can be considered
as an alternative to the proposals of Chandrasekhar (1955 Phys. Rev. 98 1050),
Bonham and Kohl (1966 J. Chem. Phys. 45 2471) and Le Sech (1997 J. Phys.
B: At. Mol. Opt. Phys. 30 L47)..4 au and all the cusp conditions at the Coulomb singularities
are satisfied. The nine-parameter functions proposed here are found to have
better local energy than those given by the 6 and 14 terms Hylleraas functions
of Chandrasekhar. The mean value of various functions evaluated with the
different proposals shows their good quality. These properties highly qualify
the function to be used as an alternative to the Chandrasekhar functions in
collisional problems. The whole set of functions given here can be considered
as an alternative to the proposals of Chandrasekhar (1955 Phys. Rev. 98 1050),
Bonham and Kohl (1966 J. Chem. Phys. 45 2471) and Le Sech (1997 J. Phys.
B: At. Mol. Opt. Phys. 30 L47).Phys. Rev. 98 1050),
Bonham and Kohl (1966 J. Chem. Phys. 45 2471) and Le Sech (1997 J. Phys.
B: At. Mol. Opt. Phys. 30 L47).J. Chem. Phys. 45 2471) and Le Sech (1997 J. Phys.
B: At. Mol. Opt. Phys. 30 L47).30 L47).