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 genera
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