Construction of self-similar shape invariant potentials with the Pade approximation
Publication in refereed journal

香港中文大學研究人員

引用次數
替代計量分析
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其它資訊
摘要We study here the self-similar shape invariant potential (SSSIP) proposed by Barclay et al (1993 Phys. Rev. A 48 2786) in the context of supersymmetric quantum mechanics. The superpotential of SSSIP, W(x), obeys an ordinary differential equation involving W and its derivative at two different spatial points, and hence cannot be solved with standard numerical methods. In addition, Taylor series expansion of W(x) about x = 0 also diverges at large x. To provide an effective numerical scheme to construct the superpotential, we use the Pade approximation to express W(x) as a fraction of polynomials in x. We find that the homogeneous two-point Pade approximant can indeed yield accurate values of the superpotential for all x.
著者Lau HK, Leung PT
期刊名稱Journal of Physics A: Mathematical and Theoretical
出版年份2008
月份1
日期18
卷號41
期次2
出版社IOP PUBLISHING LTD
國際標準期刊號1751-8113
電子國際標準期刊號1751-8121
語言英式英語
Web of Science 學科類別Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL; Physics, Multidisciplinary; PHYSICS, MULTIDISCIPLINARY

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