A variational method is presented for the solution of statistical equations derived by the authors independently of each other. A non-linear system of integro-differential equations is given for the radial density Dl of the electrons of azimuthal quantum number l. The variational method introduced here reduces the number of equations. The method has been applied to the determination of the electron density of the Ar atom; the agreement with Hartree's results is satisfactory.
ASJC Scopus subject areas
- Nuclear and High Energy Physics