The radial part of Fl(r) of the pseudo Schrödinger equation has been developed in pseudo potential approach. Also the pseudo spherical function Fl(r), the radial part of pseudo wave function ?k(r, ?, ?) is expressed in terms of ion-core electron density, Pl(r) of Hartree or Hartree-Fock one electron wave function ?k(r, ?, ?)
To develop the present equation, a new pseudo spherical function Yl(r) has been investigated which is helpful in determining many types of electron densities.
The present study orients the study related to condenser matter as well as mathematical physics.
Introduction
References
[1] D.R. Hartree, The calculations of Atomic structures, John Wiley and Sons, Inc., Newyork 1957.p.58.
[2] W. A. Harrison, Phys. Rev. 131, 2433(1963), Pseudo potential theory of metals, Benjamin, Inc. Newyork,1966.
[3] W.Kohn and L.J.Sham, Phys.Rev.,A140,1133(1965)
[4] R.W.Shaw and W.A. Harrision,Phys.Rev. 163 ,604 (1967)
[5] G.N.Watson,Theory of Bessel functions,2nd Ed. Macmillan NewYork,1945
[6] W.W.Piper,Phys.Rev.123,1281(1961)
[7] B.J.AustinV.Heine and L.J. Sham,Phys. Rev. 127,276(1962).