The wave-function solution to this equation must be multiplied by the time-modulation factor to obtain the time-dependent wave function. Notice that we use “big psi” ( Ψ ) ( Ψ ) for the time-dependent wave function and “little psi” ( ψ ) ( ψ ) for the time-independent wave function. This equation is called Schrӧdinger’s time-independent equation.

Where E is the total energy of the particle (a real number).