Author : Marten J. TEN Hoor
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (227 download)
Book Synopsis The Ground State of Atomic Two-electron Systems in the Independent Particle Model by : Marten J. TEN Hoor
Download or read book The Ground State of Atomic Two-electron Systems in the Independent Particle Model written by Marten J. TEN Hoor and published by . This book was released on 1967 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaled variational functions of the form (Phi sub alpha(k)) = e exp.-(Z-1+e exp.-(alpha(kr)))kr, where Z is the nuclear charge and alpha is a parameter, and (Phi sub beta(alpha)(k)) = exp.-(beta + e exp -(alpha(kr)))kr, where both alpha and beta are parameters, are used for the description of the ground state of atomic two-electron systems in the independent particle model. The scale factor k has been introduced in order to satisfy the virial theorem. Apart from the energy, a number of one-electron expectation values have been calculated and the results are compared with those obtained from other variational functions. The function (Phi sub alpha(k)) yields already a good approximation to the Hartree-Fock solution whereas with the function (Phi sub beta(alpha)(k)) the Hartree-Fock results are practically reproduced. (Author).