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Journals / Konuralp Journal of Mathematics / 2023 / Cilt: 11 Sayı: 2

Quantum Difference Problem with Point Interaction

Yelda AYGARKÜÇÜKEVCİLİOĞLU
Güher Gülçehre ÖZBEY
Güler Başak ÖZNUR
Pages
218–228
Publication Date
2023-10-31
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

At last, we demonstrate that the quantum boundary value problem with point interaction has finite number of eigenvalues and spectral singularities with finite multiplicities under certain conditions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main aim of this study is to examine the spectral analysis of q-difference equation with point interaction.
📊
Key Findings & Data:We first find Jost solution and Jost function of this problem.
💡
Conclusion & Impact:At last, we demonstrate that the quantum boundary value problem with point interaction has finite number of eigenvalues and spectral singularities with finite multiplicities under certain conditions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:q-difference equation · Jost solution · point interaction

Abstract

The main aim of this study is to examine the spectral analysis of q-difference equation with point interaction. We first find Jost solution and Jost function of this problem. Next, we establish the resolvent operator, continuous spectrum and discrete spectrum of the problem. At last, we demonstrate that the quantum boundary value problem with point interaction has finite number of eigenvalues and spectral singularities with finite multiplicities under certain conditions.

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Cite This Article

AYGARKÜÇÜKEVCİLİOĞLU, Y., ÖZBEY, G. G., ÖZNUR, G. B. (2023). Quantum Difference Problem with Point Interaction. Konuralp Journal of Mathematics, Cilt: 11 Sayı: 2, 218–228. https://ajindex.com/articles/1015620

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