Natural orbitals of the ground state of the two-electron harmonium atom

  title={Natural orbitals of the ground state of the two-electron harmonium atom},
  author={Jerzy Cioslowski},
  journal={Theoretical Chemistry Accounts},
  • J. Cioslowski
  • Published 11 November 2018
  • Physics
  • Theoretical Chemistry Accounts
AbstractThe radial components of the natural orbitals (NOs) pertaining to the $$^1S_+$$1S+ ground state of the two-electron harmonium atom are found to satisfy homogeneous differential equations at the values of the confinement strength $$\omega $$ω at which the respective correlation factors are given by polynomials. Together with the angular momentum l of the NOs, the degrees of these polynomials determine the orders of the differential equations, eigenvalues of which (arising from well… 
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