Theoretical Modeling of Asymmetric Quantum Tunneling via a Novel Potential Function

This paper introduces a new theoretical model for asymmetric quantum tunneling based on a novel potential function that combines algebraic and trigonometric elements. The function's mathematical structure and Schrödinger equation solutions suggest unidirectional quantum passage, a behavior supported by experimental studies on asymmetric quantum wells and quantum diodes. The study presents numerical analyses, validates consistency with known physical behavior, and proposes this potential as a new framework for quantum directional transport.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.