Classical and Quantized Affine Models of Structured Media

TL;DR

This paper develops affine models for structured media relevant to nanophysics, introducing affinely invariant dynamics and quantization schemes to better understand the behavior of such systems at the nanoscale.

Contribution

It presents new affine models with invariant dynamics and quantization methods tailored for nanophysics applications, expanding the theoretical framework of structured media.

Findings

Models exhibit affine invariance in both kinematics and dynamics

Quantization schemes are successfully developed for these models

Applicable to nanophysics of materials and structured bodies

Abstract

Having in view some applications in nanophysics, in particular in nanophysics of materials, we develop new dynamical models of structured bodies with affine internal degrees of freedom. In particular, we construct some models where not only kinematics but also dynamics of systems of affine bodies is affinely invariant. Quantization schemes are developed. This is necessary in the range of physical phenomena we are interested in.