\(iℏ\frac{∂}{∂t}Ψ(r,t)=ĤΨ(r,t)\)
where \(Ψ(r,t)\) is the wave function of the system, \(Ĥ\) is the Hamiltonian operator, \(ℏ\) is the reduced Planck constant, and i is the imaginary unit. This equation provides the basis for describing how quantum systems evolve over time. On the other hand, the time-independent form of the Schrödinger equation is fundamental for stationary systems, and is written as: