 due to a dynamic local pertubation.</span>

<span class="sd">    | Args:</span>
<span class="sd">    |     s: iDEA.system.System, System object.</span>
<span class="sd">    |     state: iDEA.state.SingleBodyState, State to be propigated.</span>
<span class="sd">    |     v_ptrb: np.ndarray, Local perturbing potential on the grid of t and x values, indexed as v_ptrb[time,space].</span>
<span class="sd">    |     t: np.ndarray, Grid of time values.</span>
<span class="sd">    |     hamiltonian_function: Call