Abstract:
The solution to the Schrodinger equation in case of Hydrogen atom (single particle) can be
solved exactly. But if we consider many electron atoms the Schrodinger equation could not
solved exactly due to the electron-electron term makes the solution inseparable in single-particle
coordinates. However, we can estimate the solutions using different methods. so from those
methods the Central Field Approximation provides an excellent starting point to deal with a
many-electron system and even if further improvements on this are available and often employed,
the Central Field Approximation scheme itself serves a very large number of applications. A set
of Quantum defect were also performed and the results have been compared with that of the
experimental values. the term quantum defect is a measure of the difference betwen an energy
level and the corresponding one in hydrogen. That is the extent to which an outer (valence)
electron of a given angular momentum penetrates the inner shell of the atom. While comparing
the experimental and calculated values, we have stressed the role of centeral field approximation
in Quantum defect theory, some suggestions for improvement of the results are also disscussed
