Quantum particles are the main theme ideas of quantum mechanics. We cannot imagine the matter of quantum mechanics without considering these microparticles and their motion. According to German Physic’s Max Planck, classical mechanics fails to study the motion of micro particle like electron then new modern physics named Quantum Mechanics grows at the end of nineteen century and Planck expressed it in Einstein’s hypothesis of light quanta. This book demonstrates the motion of quantum particle like electron with the help of some Mathematical form of Schrödinger wave equation. Here we use The Variational iterative method which reduces the size of calculations. This method provides a well-organized and much effective method for handling this nonlinear behaviour.