### Abstract

A correlated three-parameter variational ground-state Ψ (r_{1}, r_{2}, r_{12}) proposed by Chandrasekhar for helium-like ions gives a high percentage of the electron correlation energy resulting from the interaction energy e^{2} / r_{12} and also yields an analytic ground-state electron density ρ (r). Here, we extract via Schrödinger equation an exact Hamiltonian for which the Chandrasekhar wave function is the ground-state. Properties of the potential energy function in this Hamiltonian are quantified. Finally, kinetic energy densities are plotted and related to the Laplacian of ρ (r).

Original language | English |
---|---|

Pages (from-to) | 4053-4056 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 372 |

Issue number | 22 |

DOIs | |

Publication status | Published - May 26 2008 |

### Keywords

- Chandrasekhar wave function
- Exact Hamiltonian

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Exact Hamiltonian for an analytic correlated ground-state wave function for He-like ions'. Together they form a unique fingerprint.

## Cite this

Amovilli, C., March, N. H., Howard, I. A., & Nagy, Á. (2008). Exact Hamiltonian for an analytic correlated ground-state wave function for He-like ions.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*372*(22), 4053-4056. https://doi.org/10.1016/j.physleta.2007.11.075