L = m r ˙ 2 2 − V ( r ) {\displaystyle L={\frac {m{\dot {r}}^{2}}{2}}-V\left(r\right)}
H = ( p x 2 + p y 2 + p z 2 ) 2 m + V ( x , y , z ) {\displaystyle H={\frac {\left(p_{x}^{2}+p_{y}^{2}+p_{z}^{2}\right)}{2m}}+V\left(x,y,z\right)}
H = ( p ρ 2 + p θ 2 ρ 2 + p z 2 ) 2 m + V ( ρ , θ , z ) {\displaystyle H={\frac {\left(p_{\rho }^{2}+{\frac {p_{\theta }^{2}}{\rho ^{2}}}+p_{z}^{2}\right)}{2m}}+V\left(\rho ,\theta ,z\right)}
H = ( p r 2 + p θ 2 r 2 + p φ 2 r 2 sin 2 ( θ ) ) 2 m + V ( ρ , θ , φ ) {\displaystyle H={\frac {\left(p_{r}^{2}+{\frac {p_{\theta }^{2}}{r^{2}}}+{\frac {p_{\varphi }^{2}}{r^{2}\sin ^{2}(\theta )}}\right)}{2m}}+V\left(\rho ,\theta ,\varphi \right)}
