Quantum Physics

    

Hamiltonian Instability and the Classical-to-Quantum Transition

Authors: Ervin Goldfain

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. Planck’s constant emerges as long-time value of the action differential applied to large ensembles of oscillators in near equilibrium conditions

Comments: 6 Pages.

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Submission history

[v1] 2022-05-09 13:10:00
[v2] 2022-06-26 17:08:51

Unique-IP document downloads: 208 times

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