Title: Quantum Topology and Spectral Analysis of Wavefunctions

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum topology, a burgeoning field of study, seeks to leverage the principles of topology to understand and analyze quantum systems. This paper explores the potential of applying topological invariants to wave function analysis, proposing a novel method for identifying complex patterns and relationships that are currently challenging to detect with traditional techniques. The core mechanism centers around the rigorous application of topological invariants to the wave function space, aiming to uncover hidden structures and relationships that could significantly enhance our understanding of quantum phenomena. The paper details the theoretical framework, presents preliminary experimental results (demonstrating the method's efficacy), and concludes with a discussion of future research directions.

DOI: 10.5281/zenodo.22481974

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