“…Consequently, many scientists devoted their investigations in the physical properties of small-sized quantum systems in the presence of external field [ 5 , 6 , 7 , 8 , 9 ]. QW with Gaussian potential is an effective theoretical model for describing real case, and has been extensively demonstrated by some theoretical and practical works in the last two decades [ 10 , 11 , 12 , 13 , 14 ]. There are also important other investigations dealing with different types of confinement potentials the hyperbolic potential [ 15 ], cylindrical potential [ 16 ] and parabolic potential [ 17 ].…”