English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider M systems (each an electron in a long square cylinder) uniformlyarranged on a ring and with Coulomb interactions. Exact straightforwardnumerical time-dependent perturbation calculation of a single N-level($\lesssim 7$) system, with no (random) phase assumptions, system show aBoltzman distribution. We exploit the physical ring symmetry and developseveral hierarchical physical equation set so of increasing generality and(computation) speed. Given the impressive history of theoreticalquantum-mehanical statistical mechanics, our results might seem surprising, butwe observe that accurate calculation of correct physical equations should mimicNature.

A simple direct quantum model which, with no random phase assumptions and with arbitrary initial conditions, evolves to the Boltzman distribution