Ervin Goldfain. Hamiltonian Instability and the Classical-to-quantum Transition
Natural Sciences / Physics / Quantum Mechanics
Submitted on: May 09, 2022, 12:08:08
Description: The mechanism of Arnold diffusion (AD) describes the dynamic instability of nearly-integrable Hamiltonian systems. Here we argue that AD leads to action quantization for classical systems having an infinite number of degrees of freedom. PlanckâE™s constant emerges as long-time value of the action differential applied to large ensembles of oscillators in near equilibrium conditions.