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Bohmian Trajectories in a Bistable Potential Well

Quantum Physics 2026-04-29 v1 Chaotic Dynamics

Abstract

We analyze the dynamics of a quantum particle in a one-dimensional bistable potential within the framework of Bohm's quantum mechanics. We give arguments that evidence the fallacy of certain claims found in the literature dealing with the impossibility of chaotic behavior of Bohmian trajectories in one-dimensional systems. We find that an appropriate choice for the initial position and wave packet causes the particle to undergo periodic, quasiperiodic, or chaotic motion. The transitions between these regimes occur in a continuos fashion.

Keywords

Cite

@article{arxiv.2604.25048,
  title  = {Bohmian Trajectories in a Bistable Potential Well},
  author = {O. F. de Alcantara Bonfim},
  journal= {arXiv preprint arXiv:2604.25048},
  year   = {2026}
}

Comments

5 pages, 4 figures

R2 v1 2026-07-01T12:38:13.321Z