Trap-Weighted Multipole Gram Certification: Finite-Depth Riesz Stability and Selection Rules
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866902235504443392 |
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| author | Panasenko, Dmytro |
| author_facet | Panasenko, Dmytro |
| contents | <p>This preprint develops a bounded-window trap-weighted multipole Gram certification framework for finite-depth Riesz stability. The manuscript focuses on radial harmonic traps and weak radial-angular anisotropic perturbations on bounded observation windows B_R. The main components are a normalized baseline Gram construction, an exact radial block certificate, Gaunt/Wigner selection rules for angular couplings, and a finite-depth weak-anisotropy certificate with an explicit spectral-norm remainder.</p> <p> </p> <p>The record includes the manuscript PDF and a reproducibility/source package containing the LaTeX source, benchmark script, numerical tables, figures, and README. No external experimental datasets are used; the numerical material consists of manufactured diagnostic computations generated from the equations and parameters stated in the manuscript.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20386179 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Trap-Weighted Multipole Gram Certification: Finite-Depth Riesz Stability and Selection Rules Panasenko, Dmytro Riesz stability Gram matrix multipole response harmonic trap finite-depth certification Gaunt integrals Wigner 3j symbols selection rules bounded-window analysis mathematical physics response correctors BBGKY hierarchy trap-weighted analysis <p>This preprint develops a bounded-window trap-weighted multipole Gram certification framework for finite-depth Riesz stability. The manuscript focuses on radial harmonic traps and weak radial-angular anisotropic perturbations on bounded observation windows B_R. The main components are a normalized baseline Gram construction, an exact radial block certificate, Gaunt/Wigner selection rules for angular couplings, and a finite-depth weak-anisotropy certificate with an explicit spectral-norm remainder.</p> <p> </p> <p>The record includes the manuscript PDF and a reproducibility/source package containing the LaTeX source, benchmark script, numerical tables, figures, and README. No external experimental datasets are used; the numerical material consists of manufactured diagnostic computations generated from the equations and parameters stated in the manuscript.</p> |
| title | Trap-Weighted Multipole Gram Certification: Finite-Depth Riesz Stability and Selection Rules |
| topic | Riesz stability Gram matrix multipole response harmonic trap finite-depth certification Gaunt integrals Wigner 3j symbols selection rules bounded-window analysis mathematical physics response correctors BBGKY hierarchy trap-weighted analysis |
| url | https://doi.org/10.5281/zenodo.20386179 |