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We present a unified derivation of Bohmian methods that serves as a commonstarting point for the derivative propagation method (DPM), Bohmian mechanicswith complex action (BOMCA) and the zero-velocity complex action method(ZEVCA). The unified derivation begins with the ansatz$\psi=e^{\frac{iS}{\hbar}}$ where the action, $S$, is taken to be complex andthe quantum force is obtained by writing a hierarchy of equations of motion forthe phase partial derivatives. We demonstrate how different choices of thetrajectory velocity field yield different formulations such as DPM, BOMCA andZEVCA. The new derivation is used for two purposes. First, it serves as acommon basis for comparing the role of the quantum force in the DPM and BOMCAformulations. Second, we use the new derivation to show that superposing thecontributions of real, crossing trajectories yields a nodal pattern essentiallyidentical to that of the exact quantum wavefunction. The latter result suggestsa promising new approach to deal with the challenging problem of nodes inBohmian mechanics.

Unified derivation of Bohmian methods and the incorporation of interference effects