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Recent years have seen increased interest in complexified Bohmian mechanicaltrajectory calculations for quantum systems, both as a pedagogical andcomputational tool. In the latter context, it is essential that trajectoriessatisfy probability conservation, to ensure they are always guided to wherethey are most needed. In this paper, probability conservation for complexifiedBohmian trajectories is considered. The analysis relies on time-reversalsymmetry considerations, leading to a generalized expression for theconjugation of wavefunctions of complexified variables. This in turn enablesmeaningful discussion of complexified flux continuity, which turns out not tobe satisfied in general, though a related property is found to be true. Themain conclusion, though, is that even under a weak interpretation, probabilityis not conserved along complex Bohmian trajectories.

Flux Continuity and Probability Conservation in Complexified Bohmian Mechanics