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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We obtain the asymptotic formulas for the resonance eigenvalues of these operators
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L2(F).
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Key Findings & Data:In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L2(F).
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Conclusion & Impact:We obtain the asymptotic formulas for the resonance eigenvalues of these operators
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2005) · 323-347. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators
Özet
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function of L2(F). We obtain the asymptotic formulas for the resonance eigenvalues of these operators
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Cite This Article
ATILGAN, Ş., KARAKILIÇ, S., VELİEV, O. A. (2022). Asymptotic Formulas for the Resonance Eigenvalues of the Schrödinger Operator. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 4, 323–347. https://ajindex.com/articles/608753