Quantum Potential Calculation: An Adaptive Dynamic Optimization Approach
Jincheng Zhang
Abstract
Quantum potential calculations are a cornerstone of quantum chemistry and materials science, underpinning the design and understanding of novel molecular structures and materials. However, these calculations often suffer from inherent instability and require meticulous parameter tuning. This paper presents a novel approach to quantum potential calculation – an Adaptive Dynamic Optimization (ADO) method – designed to automatically adjust optimization parameters, thereby significantly enhancing both the accuracy and efficiency of the process. The core mechanism of this algorithm centers around a dynamically adapting optimization loop that iteratively refines the solution space, leading to improved results. The existing literature lacks a comprehensive and rigorously validated approach to dynamically optimize quantum potential calculations, presenting a substantial gap in this area. This work demonstrates the efficacy of the ADO method through extensive simulations and analysis, showcasing its potential to overcome the limitations of traditional methods. The paper concludes with a discussion of the algorithm's strengths, limitations, and potential applications in diverse quantum chemistry scenarios.