Hyperpolarizability of hydrogen atom under spherically confined Debye plasma

Systematic analysis of the effect of Debye plasma on the hyperpolarizability of spherically confined hydrogen atom has been studied in detail for the first time to understand the behavior of non linear optical properties of atoms under such confinements. Variation perturbation theory is used for such studies. Hyperpolarizability values are enhanced considerably under increased plasma strength while it is found to diminish with decreasing radius of spatial confinement. The present results without plasma screening are in good agreement with existing theoretical data.