Operating this on the wave function Ψ(x,t) it is found thatĭifferentiating equation with respect to ‘x’ and ‘t’ it is obtained that The total energy of the particle is given by
In analogy with this the wave function which describes the behaviour of the matter particle at any instant ‘t’, at any point ‘x’ in space can be written as The displacement of the particle at any instant ‘t’, at any point ‘x’ in space Where y is the displacement and v is the velocity of the wave travelling in a direction. For one dimensional case, the classical wave is described by the wave equation
