2016/12/31 by Anthony Demme, Ariel Caticha
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical limit #Context (archaeology) #Limit (mathematics) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos #Quantum dissipation #Quantum dynamics #Statistical Mechanics and Entropy #Trajectory #Work (physics) #cs.IT #math.IT #quant-ph
paper · pdf · doi:10.1063/1.4985370
Presented at MaxEnt 2016, the 36th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 10-15, 2016, Ghent, Belgium). In version 2 some typos and an algebra mistake are corrected. The corrections do not affect the conclusions
openalex publication_date 2017/01/01 · openalex created_date 2017/01/13 · arxiv created 2017/07/29 · arxiv updated 2017/08/01 · openalex updated_date 2026/08/05
The framework of entropic dynamics (ED) allows one to derive quantum mechanics as an application of entropic inference. In this work we derive the classical limit of quantum mechanics in the context of ED. Our goal is to find conditions so that the center of mass (CM) of a system of N particles behaves as a classical particle. What is of interest is that ħ remains finite at all steps in the calculation and that the classical motion is obtained as the result of a central limit theorem. More explicitly we show that if the system is sufficiently large, and if the CM is initially uncorrelated with other degrees of freedom, then the CM follows a smooth trajectory and obeys the classical Hamilton-Jacobi with a vanishing quantum potential.