Incorporating special relativity into it yields the more general Dirac equation.
The state vector and projection forms of this equation can be derived from the Sturm-Liouville theory. In cases where no analytical solution can be found, Monte Carlo methods, Hartree-Fock solutions, or perturbation theory must be used. Incorporating special relativity into it yields the more general Dirac equation. Containing i, Planck's constant, and the Hamiltonian in its bra-ket form, this is, FTP, what fundamental equation that describes the time- dependence of the wave function in quantum mechanics?
The state vector and projection forms of this equation can be derived from the Sturm-Liouville theory.
{Schroedinger} wave equation