Derive schrodinger's wave equations
Answers
In classical mechanics, Newton's second law (F = ma)[note 1] is used to make a mathematical prediction as to what path a given physical system will take over time following a set of known initial conditions. Solving this equation gives the position and the momentum of the physical system as a function of the external force {\displaystyle \mathbf {F} } \mathbf {F} on the system. Those two parameters are sufficient to describe its state at each time instant. In quantum mechanics, the analogue of Newton's law is Schrödinger's equation.
= E = K.E. + P.E. is a Laplacian operator. Thus, the Time Dependent Schrödinger Equation, TDSE, can be derived from the wave mechanics considering the equations for a particle describing S.H.M. This derivation has its own importance as it paves the way from classical to quantum mechanics.