Hydrogen molecular ion inside penetrable prolate spheroidal boxes: Electronic and vibrational properties

The exact solution of the Schrödinger equation for the hydrogen molecular ion confined inside penetrable prolate spheroidal boxes is constructed within the Born–Oppenheimer approximation.The pressure dependence of physical properties such as ground‐state energy, equilibrium bond length, vibrational force constant, polarizability and quadrupole moment are examined for different barrier heights.