Quantum Diffusion and the Interdimensional Fractal Operator as IFO (Ibaguner Fractal Operator)

<p>Problem Statement For a quantum system with Hamiltonian H and absolutely continuous spectrum when v ≥ 3, prove or disprove that the second moment grows linearly:</p> <p>Strong Coupling (λ ≥ λc) Disproof. IFO induces fractal spectrum: •</p> <p>Subdiffusion (α < 1): Localization effects •</p> <p>Superdiffusion (α > 1): Lvy flights</p>

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-01-01
DOI
https://doi.org/10.13140/rg.2.2.12673.36963
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Quantum Diffusion and the Interdimensional Fractal Operator as IFO (Ibaguner Fractal Operator)

Zenodo (CERN European Organization for Nuclear Research)
Spectral Theory in Mathematical Physics
article

Quantum Diffusion and the Interdimensional Fractal Operator as IFO (Ibaguner Fractal Operator)

article en

Abstract

<p>Problem Statement For a quantum system with Hamiltonian H and absolutely continuous spectrum when v ≥ 3, prove or disprove that the second moment grows linearly:</p> <p>Strong Coupling (λ ≥ λc) Disproof. IFO induces fractal spectrum: •</p> <p>Subdiffusion (α < 1): Localization effects •</p> <p>Superdiffusion (α > 1): Lvy flights</p>

Zenodo (CERN European Organization for Nuclear Research)
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Spectral Theory in Mathematical Physics
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Quantum Diffusion and the Interdimensional Fractal Operator as IFO (Ibaguner Fractal Operator) · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS