A Bohmian trajectory analysis of singular wave functions.

The Schrödinger equation admits smooth and finite solutions that spontaneously evolve into a singularity, even for a free particle. This blowup is generally ascribed to the intrinsic dispersive character of the associated time evolution. We resort to the notion of quantum Bohmian trajectories to relate this singular behavior to local phase variations, which generate an underlying velocity field responsible for driving the quantum flux toward the singular region. • The dispersive blowup of the Schrödinger equation is investigated. • Local phase variations undergone by the wave function generate an underlying velocity field responsible for driving the quantum flux toward singular regions. • Bohmian trajectories are used to relate the wave function singular behavior to local phase variations. [ABSTRACT FROM AUTHOR]