1947/04/15 by Egil A. Hylleraas, Aadne Ore · 1 citation
Physics and Astronomy · Engineering · Chemistry · #Atomic and Molecular Physics #Muon and positron interactions and applications #Advanced Physical and Chemical Molecular Interactions #Positronium #Binding energy #Electron #Positron #Physics #Wave function #Atomic physics #Function (biology) #Energy (signal processing) #Cluster (spacecraft) #Molecule #Atoms in molecules #Quantum mechanics #Computer science
paper · doi:10.1103/physrev.71.493
openalex publication_date 1947/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23
A system of two electrons and two positrons is shown to possess dynamic stability. The variational calculation performed leads to a binding energy of at least 0.11 ev for this cluster. The approximate wave function which yields this value depends on the four electron-positron distances only. Neglect of the two distances between particles of the same kind permits an essential mathematical simplification which might be of interest in other problems.