A fast convergent hyperspherical expansion for the helium ground state

M. I. Haftel; V. B. Mandelzweig

doi:10.1016/0375-9601(87)90215-5

A fast convergent hyperspherical expansion for the helium ground state

M. I. Haftel^*
, V. B. Mandelzweig

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

An efficient method of solving the three-body Schrödinger equation is presented. The wavefunction is decomposed into the product of a correlation factor describing the singularity and clustering structure, and a smooth factor expanded in hyperspherical harmonics. The application to the helium atom yields a ground state energy of 2.9037244 (2.9033052) au for infinite (finite) nuclear mass. The convergence pattern shows that the accuracy of these values is better than a few parts in 10⁸.

Original language	English
Pages (from-to)	232-236
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	120
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(87)90215-5
State	Published - 23 Feb 1987

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AB - An efficient method of solving the three-body Schrödinger equation is presented. The wavefunction is decomposed into the product of a correlation factor describing the singularity and clustering structure, and a smooth factor expanded in hyperspherical harmonics. The application to the helium atom yields a ground state energy of 2.9037244 (2.9033052) au for infinite (finite) nuclear mass. The convergence pattern shows that the accuracy of these values is better than a few parts in 108.

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A fast convergent hyperspherical expansion for the helium ground state

Abstract

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