Schrodinger time-dependent wave equation derivation. Thus, as long as the potential energy function is constant in time, Schrödinger’s equation is separable and all of our work studying the time-independent equation is valid, as long as we remember that these solutions are actually oscillating in time according to the description given above. This equation was presented by Ervin Schrodinger in 1925 and published in 1926. We also implement the CrankNicolson scheme to solve the time-dependent Schrödinger.
The beauty of the method is the convergent and stability of results for all finite values of, i.e., 31. In fact, if we set A = 1, the temporal part of the wavefunction will have no effect on the probabilities calculated earlier in this chapter. Crank and Phyllis Nicolson (1947) proposed a method for the numerical solution of partial differential equations known as CrankNicolson method.
