The theory of the Double Solution: Dynamical issues in quantum systems in the semiclassical regime
arXiv:1611.02340
Abstract
The "dynamical mismatch" observed in quantum systems in the semiclassical regime challenge the Pilot wave model. Indeed the dynamics and properties of such systems depend on the trajectories of the classically equivalent system, whereas the de Broglie-Bohm trajectories are generically non-classical.\ In this work we examine the situation for the model favoured by de Broglie, the theory of the Double Solution (DS). We will see that the original DS model applied to semiclassical systems is also prone to the dynamical mismatch.\ However we will argue that the DS theory can be modified in order to yield propagation of the singularity in accord with the underlying classical dynamics of semiclassical systems.
References in corpus (5)
- Bohmian mechanics, the quantum-classical correspondence and the classical limit: the case of the square billiard
- Realism and the wave-function
- Are Bohmian trajectories real? On the dynamical mismatch between de Broglie-Bohm and classical dynamics in semiclassical systems
- Elementary Considerations on the Interpretation of the Foundations of Quantum Mechanics
- Can Bohmian trajectories account for quantum recurrences having classical periodicities?