Smain Amari

most citedElectromagnetic Modes in Spherical Cavities: Complete Theory of Angular Spectra, Dispersion Relations, and Self-Adjoint Extensions

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math-ph2025

Group-Theoretical Origin of the Sectoral-Tesseral-Zonal Trichotomy in Spherical Harmonics

Mustafa Bakr, Smain Amari

The spherical harmonics $Y_{ℓ}^{m}$ fall into three families -- sectoral ( $ℓ = ∣ m ∣$ ), tesseral ( $ℓ > ∣ m ∣ > 0$ ), and zonal ( $m = 0$ ) -- which exhibit fundamentally different be…

math-ph2025★ 1 cited

Electromagnetic Modes in Spherical Cavities: Complete Theory of Angular Spectra, Dispersion Relations, and Self-Adjoint Extensions

Mustafa Bakr, Tongyu Zhang, Smain Amari

We present a complete theory of electromagnetic modes in spherical cavities, resolving fundamental questions about the nature of angular quantization. The standard result that angu…