Abstract
Coupled Schrödinger equations with fractional damping represent a complex yet fascinating area of study in quantum mechanics. This research paper delves into the analytical investigation of such systems, focusing on deriving decay solutions and conducting stability analysis. By combining theoretical frameworks with numerical methods, we explore the behavior of these coupled equations under varying parameters and conditions. Through a thorough analysis, we aim to deepen our understanding of the dynamics and stability properties of quantum systems subject to fractional damping, with potential implications for diverse fields ranging from quantum mechanics to condensed matter physics.
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