In quantum mechanics, the Hamiltonian H, is the operator corresponding to the total energy of the system. Its spectrum is the set of possible outcomes when one measures the total energy of a system. Because of its close relation to the time-evolution of a system, it is of fundamental importance in most formulations of quantum theory. By analogy with classical mechanics, the Hamiltonian is commonly expressed as the sum of operators corresponding to the kinetic and potential energies of a system. wikipedia - Hamiltonian

See Also

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Chord
curl
Quantization - Physics
Quantum Number
Quaternion
Schrodinger equation
Wavefunction