Quantum aspect of the classical dynamics

We show that some quantum effects, such as the creation and annihilation of particles and the existence of dark energy, actually arise in study of known models of classical mechanics, such as the Calogero–Moser and Ruijsenaars–Schneider systems.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-09-01
DOI
https://doi.org/10.1016/j.padiff.2024.100907
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

Quantum aspect of the classical dynamics

A. K. Pogrebkov
Partial Differential Equations in Applied Mathematics
Nonlinear Waves and Solitons
article

Quantum aspect of the classical dynamics

A. K. Pogrebkov
article en

Abstract

We show that some quantum effects, such as the creation and annihilation of particles and the existence of dark energy, actually arise in study of known models of classical mechanics, such as the Calogero–Moser and Ruijsenaars–Schneider systems.

Partial Differential Equations in Applied MathematicsVol. 11
National Research University Higher School of Economics (RU), Steklov Mathematical Institute (RU)
Openalex Percentile: Top 86%
Nonlinear Waves and Solitons
DOIOpen Access PDFOpenAlex
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Quantum aspect of the classical dynamics — A. K. Pogrebkov · Partial Differential Equations in Applied Mathematics (2024) | TGRS Research Map | TGRS