Arrange the following steps in the correct order for the evolution of a quantum state according to the principles of quantum mechanics: A) Apply the Hamiltonian operator to the wave function, B) Determine the initial quantum state of the system, C) Solve the Schrödinger equation to find the time evolution, D) Analyze the resulting wave function to extract physical predictions.

First you pick the initial quantum state of the system, B. Then you apply the Hamiltonian operator to that wave function, A, to see how it changes. Next you solve the Schrödinger equation with that Hamiltonian to obtain the time‑dependent wave function, C. Finally, you analyze the resulting wave function to extract measurable predictions, D. For example, if you start with a particle in a box, you apply the kinetic energy Hamiltonian, solve the equation to find the evolving standing wave, and then calculate probabilities for finding the particle in different regions.