In this Demonstration a spatially localized algebraic breather solution with only one oscillation is studied. The squared modulus of the wavefunction is interpreted as the particle density, where is a complex function and is its complex conjugate. The causal interpretation of quantum theory developed by Louis de Broglie and David Bohm introduced trajectories that are guided by a real phase function determined by the wavefunction. In the eikonal representation of the wave, , the gradient of the phase is the particle velocity . In this interpretation, the origin of the motion of the particle is the potential , given by , plus an additional term . The latter may be interpreted alternatively as a kind of fluid pressure or quantum Bohm potential. In the asymptotic case, the velocity of the particle becomes . In the graphic on the left, you can see the position of the particles, the squared wavefunction (blue), the quantum potential (red), and the velocity (green). In the center and on the right, the graphics show the squared wavefunction plus trajectories and the quantum potential plus trajectories.