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Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα
https://oist.repo.nii.ac.jp/records/2265
https://oist.repo.nii.ac.jp/records/2265234306e0-d036-47b9-b142-6c9f3d1517cb
名前 / ファイル | ライセンス | アクション |
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Anh-Tai-2021-Analytical study of the sth-order (5.4 MB)
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CC BY 4.0
Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2021-09-10 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ANHARMONIC-OSCILLATOR | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ENERGY SURFACES | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | EIGENVALUES | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Anh-Tai, Tran Duong
× Anh-Tai, Tran Duong× Hoang, Duc T.× Truong, Thu D. H.× Nguyen, Chinh Dung× Uyen, Le Ngoc× Dung, Do Hung× Vy, Nguyen Duy× Pham, Vinh N. T. |
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書誌情報 |
en : AIP Advances 巻 11, 号 085310, 発行日 2021-08-06 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | In this work, we present a rigorous mathematical scheme for the derivation of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by the potential V-per(x) = lambda x(alpha), where alpha is a positive integer, using the non-degenerate time-independent perturbation theory. To do so, we derive a generalized formula for the integral I = integral(+infinity)(-infinity)x(alpha)exp(-x(2))H-n(x)H-m(x)d(x), where H-n(x) denotes the Hermite polynomial of degree n, using the generating function of orthogonal polynomials. Finally, the analytical results with alpha = 3 and alpha = 4 are discussed in detail and compared with the numerical calculations obtained by the Lagrange-mesh method. | |||||
出版者 | ||||||
出版者 | American Institute of Physics | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2158-3226 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1063/5.0059800 | |||||
権利 | ||||||
権利情報 | © 2021 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://aip.scitation.org/doi/10.1063/5.0059800 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |