LAUSR

A spherically confined hydrogen atom has been considered using two different confined potentials such as modified Kratzer and non-spherical oscillator potentials. First, the Schrödinger equation in $$ r $$ r -space has been solved and the exact analytical wave functions and energy levels have been obtained. Then, the Renyi entropy and Shannon entropy in $$ r $$ r -space have been calculated. In addition, we have numerically calculated the wave functions in $$ p $$ p -space by performing Fourier transform. The calculations have been done for different quantum numbers $$ n $$ n and $$ l $$ l and also quantum size $$ r_{0} $$ r 0 . The Bialynicki–Birula–Mycielski inequality is also tested. It is found that this inequality depends on non-extensive parameter $$ q $$ q .