Solutions to this equation for a periodic system can be combined according Bloch's theorem. One method of solving this equation for an N-body system is to select a trial function and then use the variational principle in order to iterate the choice. Another method to solve this equation decomposes a Hamiltonian into a zeroth-order part and adds a quantity V, which is the perturbation theory named for Rayleigh and this equation's namesake. Solvabl
Solutions to this equation for a periodic system can be combined according Bloch's theorem. One method of solving this equation for an N-body system is to select a trial function and then use the variational principle in order to iterate the choice. Another method to solve this equation decomposes a Hamiltonian into a zeroth-order part and adds a quantity V, which is the perturbation theory named for Rayleigh and this equation's namesake. Solvable with the Hartree- Fock method, it can be written as E psi equals H psi in its time-independent formulation, and solving this equation for the hydrogen atom gives orbitals. For 10 points, name this fundamental equation of quantum physics, used to define the wavefunction, that is named for a German.
Solutions to this equation for a periodic system can be combined according Bloch's theorem.