A Differential Geometric Model for Energy-Time Integration in Many-Electron Quantum Systems

This study presents a novel mathematical formulation for modeling energy transfer processes in many-electron quantum systems using differential forms. The proposed integral structure captures the time-dependent nature of energy dynamics and orbital coupling via an exterior product (wedge), suggesting compatibility with both Hodge theory and quantum chemical multi-body problems. The formulation is numerically verified and theoretically aligned with state-of-the-art quantum simulations.

The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.