Condensed Matter

2509 Submissions

[2] viXra:2509.0151 [pdf] replaced on 2025-10-04 23:36:05

Alternative Formulation of SERS Enhancement Through Matter-Resonance Coupling

Authors: Edwin Maina
Comments: 3 Pages.

We present an alternative theoretical approach to calculating Surface-Enhanced Raman Scattering enhancement factors using matter-mediated resonance coupling. The framework parametrizes field enhancement through β(E,ρ) = βu2080(ρ/ρu2080)^0.2 Σu2099 Γu2099/[(E-Eu2099)²+Γu2099²], where coupling strength depends on local energy density ρ and resonance with matter excitations at energies Eu2099. For gold nanoparticle hotspots at plasmon resonance (E = 2.3 eV, ρ = 2×10²u2078 eV/m³), this approach yields β = 179, producing enhancement factors consistent with classical electromagnetic predictions when coupled through molecular susceptibility χ ≈ 10u207bu2074. The formulation offers complementary physical insight by explicitly incorporating matter's spectral response into the enhancement mechanism, suggesting that field concentration and material resonances are coupled rather than independent effects. While numerically equivalent to established methods for standard SERS configurations, this framework may provide computational advantages for complex multi-resonance systems or guide design of resonantly-optimized nanostructures.
Category: Condensed Matter

[1] viXra:2509.0028 [pdf] submitted on 2025-09-04 17:44:28

A Mathematical Framework for Unconventional Superconductivity Beyond BCS Theory

Authors: Debabrata Chini
Comments: 30 Pages. (Note by viXra Admin: For the last time, please submit article written with AI assistance to ai.viXra.org)

We present a rigorous mathematical framework for modeling unconventional superconductivity beyond the standard Bardeen-Cooper-Schrieffer (BCS) theory. While BCS theory successfully explains conventional superconductors through phononmediated electron pairing, it fails to capture key phenomena in high-temperature and strongly correlated superconducting systems. In this work, we construct a non-BCS theoretical model rooted in advanced mathematical formalisms, incorporating non-trivial symmetries, non-local interactions, and topological considerations. The model is developed from first principles, without reliance on empirical fits or experimental parameters. We derive a new class of equations governing the superconducting order parameter and explore their implications through analytical techniques and graph-based representations. Our results suggest the emergence of superconducting states with properties incompatible with BCS-type behavior, offering insights into possible mechanisms behind high-temperature or exotic superconductors. This framework provides a foundation for further theoretical explorationand may guide future experimental inquiries into non-phononic superconductivity.
Category: Condensed Matter