The conditional evolution equation includes the wave function $\Psi$ on the full configuration space in the potentials terms $A$ and $B$, or more precisely in the ratios $\psi'/\psi$ and $\psi''/\psi$. We define \[ \phi_i(t,x) = \left. \frac{\nabla^i_y\Psi(t,x,y)}{\Psi(t,x,y)} \right|_{y=Y(t)} \] and thus have $\phi_1 = \psi'/\psi$, $\phi_2 = \psi''/\psi$ and so on. Note that this potential quantities with $i$ even are scalar valued while those with $i$ odd are 3d vector valued. To get a general evolution equation for the potentials $\phi_i$ we take the time derivative again obeying the chain rule for the time dependent Bohmian trajectory $Y(t)$ that substitutes the coordinate $y$. \[ \partial_t \phi_i = \left. \partial_t \frac{\nabla^i_y \Psi}{\Psi} \right|_{y=Y(t)} + \dot{Y}(t) \cdot\left. \nabla_y \frac{\nabla^i_y \Psi}{\Psi} \right|_{y=Y(t)} \]