Abstract
Following de Broglie, Bohm, and others, it is assumed that quantum mechanics may be interpreted causally and that the function plays the role of a generating function for particle trajectories. By arguing that the function should not be interpreted as a probability amplitude, a new method for generating particle trajectories is postulated. The four-momentum of a scalar particle is assumed to be given as the gradient of an unspecified function , where is a pure real solution of the Klein-Gordon equation. Since the location of a particle is determined solely by its trajectory, the probability distribution differs from ; and therefore, ordinary experimental results differing from the traditional theory may, in principle, be predicted. Particle motion and trajectories are discussed for three examples: a free particle, a particle in a box, and the double slit.
- Received 3 March 1960
DOI:https://doi.org/10.1103/PhysRev.122.1932
©1961 American Physical Society