Yıl: 2022 Cilt: 71 Sayı: 3 Sayfa Aralığı: 634 - 649 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.974409 İndeks Tarihi: 29-09-2022

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

Öz:
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.
Anahtar Kelime: Hill's equation symmetric double well potential periodic and semi-periodic eigenfunctions Green's functions asymptotics

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA kabatas a (2022). On eigenfunctions of Hill's equation with symmetric double well potential. , 634 - 649. 10.31801/cfsuasmas.974409
Chicago kabatas ayse On eigenfunctions of Hill's equation with symmetric double well potential. (2022): 634 - 649. 10.31801/cfsuasmas.974409
MLA kabatas ayse On eigenfunctions of Hill's equation with symmetric double well potential. , 2022, ss.634 - 649. 10.31801/cfsuasmas.974409
AMA kabatas a On eigenfunctions of Hill's equation with symmetric double well potential. . 2022; 634 - 649. 10.31801/cfsuasmas.974409
Vancouver kabatas a On eigenfunctions of Hill's equation with symmetric double well potential. . 2022; 634 - 649. 10.31801/cfsuasmas.974409
IEEE kabatas a "On eigenfunctions of Hill's equation with symmetric double well potential." , ss.634 - 649, 2022. 10.31801/cfsuasmas.974409
ISNAD kabatas, ayse. "On eigenfunctions of Hill's equation with symmetric double well potential". (2022), 634-649. https://doi.org/10.31801/cfsuasmas.974409
APA kabatas 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, 71(3), 634 - 649. 10.31801/cfsuasmas.974409
Chicago kabatas ayse On eigenfunctions of Hill's equation with symmetric double well potential. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71, no.3 (2022): 634 - 649. 10.31801/cfsuasmas.974409
MLA kabatas ayse On eigenfunctions of Hill's equation with symmetric double well potential. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.71, no.3, 2022, ss.634 - 649. 10.31801/cfsuasmas.974409
AMA kabatas a On eigenfunctions of Hill's equation with symmetric double well potential. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(3): 634 - 649. 10.31801/cfsuasmas.974409
Vancouver kabatas a On eigenfunctions of Hill's equation with symmetric double well potential. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(3): 634 - 649. 10.31801/cfsuasmas.974409
IEEE kabatas a "On eigenfunctions of Hill's equation with symmetric double well potential." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71, ss.634 - 649, 2022. 10.31801/cfsuasmas.974409
ISNAD kabatas, ayse. "On eigenfunctions of Hill's equation with symmetric double well potential". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71/3 (2022), 634-649. https://doi.org/10.31801/cfsuasmas.974409