Scholarlink

<p>We use the tridiagonal representation approach to solve the radial Schrödinger equation for the continuum scattering states of the Kratzer potential. These solutions are written as pointwise convergent series of Bessel functions with a discrete index. They are a generalized version of our earlier findings [Sec. III in J. Math. Phys. 64 (2023) 112102]. We study the associated novel 3-parameter orthogonal polynomials that appear in the expansion coefficients of the series. We obtain their generating function, asymptotics, and weight function.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Orthogonal polynomials associated with the scattering states of the Kratzer potential

  • 期刊论文

  • 发表日期：

    2025年2月4日

查看全文
  • A. D. Alhaidari,
  • Yu-Tian Li

摘要

We use the tridiagonal representation approach to solve the radial Schrödinger equation for the continuum scattering states of the Kratzer potential. These solutions are written as pointwise convergent series of Bessel functions with a discrete index. They are a generalized version of our earlier findings [Sec. III in J. Math. Phys. 64 (2023) 112102]. We study the associated novel 3-parameter orthogonal polynomials that appear in the expansion coefficients of the series. We obtain their generating function, asymptotics, and weight function.