Shannon entropy for endohedrally confined hydrogen atom embedded in Debye plasma

Energy eigenvalues and Shannon entropy are calculated for the Endohedrally confined hydrogen atom embedded in Debye plasma. Numerov method is employed for solving Schrodinger equation. Variation of Shannon entropy with the parameters of confinement potential as well as with the Debye screening parameter is investigated. Calculations are performed for position space, momentum space and total Shannon entropy. Shannon entropy is established as an indicator of avoided crossings between the energy levels for plasma embedded Endohedrally confined systems. Novel data is presented for the energy eigenvalues and Shannon entropy of plasma embedded Endohedrally confined hydrogen atom.