Where \(\mathcal{H}\) is the Hamiltonian of the system, \(\mathcal{T}\) is the total kinetic energy of the system, and \(\mathcal{V}\) the total potential energy of the system. It is clear, then, that \(\mathcal{H}\) can also be thought of as the total energy in the system. Understanding this, and applying the Conservation of Energy, we obtain: