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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 3

On eigenfunctions of Hill's equation with symmetric double well potential

Ayşe Kabataş(KARADENIZ TECHNICAL UNIVERSITY)0000-0003-3273-3666
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Yayın Tarihi
2022-09-30
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Then, the obtained results are adapted to the Whittaker-Hill equation which has the symmetric double well potential and is widely investigated in the literature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Throughout this paper the asymptotic approximations for eigen- functions of eigenvalue problems associated with Hill’s equation satisfying periodic and semi-periodic boundary conditions are derived when the potential is symmetric double well.
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Temel Bulgular & Veri:These approximations are used to determine the Green’s functions of the related problems.
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Sonuç & Katkı:Then, the obtained results are adapted to the Whittaker-Hill equation which has the symmetric double well potential and is widely investigated in the literature.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hill's equation · symmetric double well potential · periodic and semi-periodic eigenfunctions

Abstract

Throughout this paper the asymptotic approximations for eigen- functions of eigenvalue problems associated with Hill’s equation satisfying periodic and semi-periodic boundary conditions are derived when the potential is symmetric double well. These approximations are used to determine the Green’s functions of the related problems. Then, the obtained results are adapted to the Whittaker-Hill equation which has the symmetric double well potential and is widely investigated in the literature.

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Bu Makaleye Atıf Yap

Kabataş, A. (2022). On eigenfunctions of Hill's equation with symmetric double well potential. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 3. https://doi.org/10.31801/cfsuasmas.974409

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Kaynakça (33)

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