Quantum Dynamics with Bohmian Trajectories

Abstract

We describe the advantages and disadvantages of numerical methods when Bohmian trajectory-grids are used for numerical simulations of quantum dynamics. We focus on the crucial non crossing property of Bohmian trajectories, which numerically must be paid careful attention to. Failure to do so causes instabilities or leads to false simulations.

17 pages, 18 figures; some typos corrected, 4 figures added, some paragraphs extended, source code extended

References in corpus (4)

• Quantum Equilibrium and the Origin of Absolute Uncertainty
• Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory
• Simple Proof for Global Existence of Bohmian Trajectories
• Quantum Dynamics with Bohmian Trajectories

Cited by in corpus (8)

• Cosmology from quantum potential
• Quantum phenomena modelled by interactions between many classical worlds
• Quantum Raychaudhuri equation
• Quantum Dynamics with Bohmian Trajectories
• On quantum potential dynamics
• Cosmic coincidence or graviton mass?
• Reply to "Comment on `Quantum Raychaudhuri Equation'"
• Vacuum Landscaping: Cause of Nonlocal Influences without Signaling