Hilbert bodies as quantum-classical continua
Marcelo Epstein
TL;DR
This paper introduces a hybrid quantum-classical model that conceptualizes a micro-structured continuum as a principal Hilbert bundle, aiming to bridge quantum and classical descriptions in continuum mechanics.
Contribution
It proposes a novel framework representing micro-structured continua as Hilbert bundles, integrating quantum and classical mechanics in a unified model.
Findings
Framework successfully models quantum-classical interactions
Provides mathematical foundation for hybrid continuum theories
Potential applications in advanced material modeling
Abstract
A hybrid quantum-classical model is proposed whereby a micro-structured (Cosserat-type) continuum is construed as a principal Hilbert bundle
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Taxonomy
TopicsQuantum Mechanics and Applications · Homotopy and Cohomology in Algebraic Topology · Relativity and Gravitational Theory