On Epstein's trajectory model of non-relativistic quantum mechanics
arXiv:0907.5373 · doi:10.1007/s10701-010-9475-6
Abstract
In 1952 Bohm presented a theory about non-relativistic point-particles moving along deterministic trajectories and showed how it reproduces the predictions of standard quantum theory. This theory was actually presented before by de Broglie in 1926, but Bohm's particular formulation of the theory inspired Epstein to come up with a different trajectory model. The aim of this paper is to examine the empirical predictions of this model. It is found that the trajectories in this model are in general very different from those in the de Broglie-Bohm theory. In certain cases they even seem bizarre and rather unphysical. Nevertheless, it is argued that the model seems to reproduce the predictions of standard quantum theory (just as the de Broglie-Bohm theory).
12 pages, no figures, LaTex; v2 minor improvements
References in corpus (6)
- Quantum Equilibrium and the Origin of Absolute Uncertainty
- On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory
- Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory
- On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics
- De Broglie-Bohm Guidance Equations for Arbitrary Hamiltonians
- Are All Particles Identical?