This operator is a common method of solving the Schrödinger wave equation.
It was first devised as a means of explaining classical mechanics, but turned out to be well suited to the formulation of quantum mechanics. When applied, it can be said that the wavefunctions that result are its eigenfunctions, and the corresponding eigenvalues are the allowed energies. This operator is a common method of solving the Schrödinger wave equation. Used to express the energy of a system in terms of its momentum and positional coordinates, FTP, identify this operator that, in simple systems, corresponds to the total energy of a system by adding the potential and kinetic energies.
It was first devised as a means of explaining classical mechanics, but turned out to be well suited to the formulation of quantum mechanics.
{Hamiltonian} operator