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It is known that Lorentz covariance fixes uniquely the current and the associated guidance law in the trajectory interpretation of quantum mechanics for spin 1 2 particles. In the non-relativistic domain this implies a guidance law for the electron which differs by an additional spin-dependent term from that originally proposed by de Broglie and Bohm. In this paper we explore some of the implications of the modified guidance law. We bring out a property of mutual dependence in the particle coordinates that arises in product states, and show that the quantum potential has scalar and vector components which implies the particle is subject to a Lorentz-like force. The conditions for the classical limit and the limit of negligible spin are given, and the empirical sufficiency of the model is demonstrated. We then present a series of calculations of the trajectories based on two-dimensional Gaussian wave packets which illustrate how the additional spin-dependent term plays a significant role in structuring both the individual trajectories and the ensemble. The single packet corresponds to quantum inertial motion. The distinct features encountered when the wavefunction is a product or a superposition are explored, and the trajectories that model the two-slit experiment are given. The latter paths exhibit several new characteristics compared with the original de Broglie-Bohm ones, such as crossing of the axis of symmetry. PACS: 03.65.Bz 1 It should be noted that the form of uniqueness demonstrated here refers to flows that directly generate the particle probability density in the position representation. This does not exclude the possibility that mj ρ may emerge as, for example, the mean momentum in some other theory that introduces additional variables to describe the motion. For purposes of comparison we recall that in classical statistical mechanics the analogue of equation (1.2) is not basic but follows as a space projection of the phase space Liouville equation.

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book reviewsUS Congress wants to cut down old-growth forests to save jobs? How far can we train parataxonomists when we cannot even persuade our societies to pay the salaries of taxonomists who would catalogue the diversity we are trying to save? Perhaps the journalism of science studies has no answers to these things because we have no answers ourselves.