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Wave mechanics introduction

The de Broglie concept of matter waves brought the break through in the development of quantum theory in·1925. In classical mechanics, Newton’s law describe the motion of particles. The future history of particle is completely determined by its initial position and momentum together with the forces that act upon it. But the concept of matter waves introduced the uncertainty in the position and momentum of a particle. Moreover, according to de Broglie theory, a material particle is associated with the wave. So the mathematical reformation using a wave function associated with matter wave is needed. Such a mathematical formation known as quantum m echanics was developed in 1926 by Schrooinger. Schrodinger described the amplitude of matter waves by a complex quantity w(x, y, z, t) known as wave function or the state.of the system. It describes the particular dynamical system under observation.