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We discuss the main mechanisms generating chaotic behavior of the quantumtrajectories in the de Broglie - Bohm picture of quantum mechanics, in systemsof two and three degrees of freedom. In the 2D case, chaos is generated viamultiple scatterings of the trajectories with one or more `nodal point -X-point complexes'. In the 3D case, these complexes form foliations along`nodal lines' accompanied by `X-lines'. We also identify cases of integrable orpartially integrable quantum trajectories. The role of chaos is important ininterpreting the dynamical origin of the `quantum relaxation' effect, i.e. thedynamical emergence of Born's rule for the quantum probabilities, which hasbeen proposed as an extension of the Bohmian picture of quantum mechanics. Inparticular, the local scaling laws characterizing the chaotic scatteringphenomena near X-points, or X-lines, are related to the global rate at whichthe quantum relaxation is observed to proceed. Also, the degree of chaosdetermines the rate at which nearly-coherent initial wavepacket states losetheir spatial coherence in the course of time.

Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation