In the final part of the study, we construct the resolvent operator and examine its analytic structure.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this study, we consider the Klein–Gordon s-wave equation defined on the half line under impulsive condition and construct the corresponding differential operator.
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Key Findings & Data:We then introduce the transfer matrices associated with the impulsive Klein–Gordon s-wave operator on the half line and employ them to analyze the scattering function and its analytic structure through an alternative operator-theoretic method.
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Conclusion & Impact:In the final part of the study, we construct the resolvent operator and examine its analytic structure.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Klein-Gordon equation · scattering function · impulsive condition
Abstract
In this study, we consider the Klein–Gordon s-wave equation defined on the half line under impulsive condition and construct the corresponding differential operator. We then introduce the transfer matrices associated with the impulsive Klein–Gordon s-wave operator on the half line and employ them to analyze the scattering function and its analytic structure through an alternative operator-theoretic method. This approach enables a new characterization of the scattering behavior and establishes connections between the analytic properties of the transfer matrices and the spectral features of the operator. In the final part of the study, we construct the resolvent operator and examine its analytic structure.
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