Electric field modified quantum entropic measures of particle in a spherical box

The dynamics of a particle in a spherical box (PISB) in the presence of a static electric field is analyzed. According to recent research, the electric field has an interesting effect on information measurements like Shannon entropy. In this work, we propose to study the influence of the external electric field on entropic measures of a PISB. The total Shannon entropy $$S_\mathrm{T}$$ in the presence of a static electric field shows variations with the confining radius, but $$S_\mathrm{T}$$ remains constant with the confining radius in the absence of a static electric field. We calculated different quantum entropic measures of PISB with and without the external electric field. The Shannon entropy of considered levels with confinement and electric field is studied in detail. It is shown the electric field shows considerable modification on $$S_\mathrm{T}$$ and other parameters. We have also calculated corresponding Kullback–Leibler distance in position and momentum space.