Wave mechanical model of the atom depends on

Wave mechanical model is developed by schrodinger, this model is based on the particle and wave nature of electron is known as wave mechanical model of atom. 

The motion of electron around nucleus is round motion and may be considered to be analogous to the standing waves the waves which are generated by plucking the stretched string. 

The amplitude of the standing wave is independent of time and is a function of the distance from one finite end.