1. Joseph Fourier ( )

4. Erwin Schrödinger

5. An additional postulate of Quantum Mechanics (!)
The Time-Dependent Schrödinger Equation
Given the Hamiltonian operator:
m=mass; V(x)=potential energy
The time-independent Schrödinger Eq. (in 1D) reads:
The time-dependent Schrödinger Eq. reads:
An additional postulate
of Quantum Mechanics (!)

6. Given a solution of the time independent Schrodinger Eq.
then:
solves the time-dependent Schrödinger Eq. (!).
It represents a stationary state solution since the associated
probability density is time-independent: