Quantum Tunneling Through a Rectangular Barrier: Exponential Decay Governs Transmission Coefficient. — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Quantum tunneling probability through a rectangular barrier is governed by the exponential decay of the wavefunction inside the barrier, yielding the transmission coefficient \(T \approx e^{-2\kappa L}\) where \(\kappa=\sqrt{2m(V_0-E)}/\hbar\). | MATH: \(T \approx e^{-2\kappa L}\), \(\kappa=\sqrt{2m(V_0-E)}/\hbar\). | CONNECTION: No direct geometric harmony ratios appear; the decay constant \(\kappa\) is purely algebraic, not related to golden ratios or base‑60. | DEPTH: 4 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225458103