## Abstract

We discuss two general techniques for constructing homogeneous functions φ of the kinetic energy operator T for the helium atom in a state of symmetry S. The first technique is based on algebraic identification of the kernel of T in a space spanned by some predetermined set of basis functions. The second technique, analytic in nature, constructs the homogeneous functions of T as formal power series with coefficients deduced from recurrence relations stemming from the requirement Tφ=0. Both approaches are capable of producing a great variety of homogeneous functions φ with arbitrary homogeneity that can prove useful for constructing the exact ground state wave function for the helium atom.

Original language | English |
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Pages (from-to) | 69-82 |

Number of pages | 14 |

Journal | Journal of the Chinese Chemical Society |

Volume | 63 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2016 |

## Keywords

- Exact wave function
- Helium atom
- Homogeneous solutions of PDE