AI 中文总结
研究基林贝克势薛定谔方程的解，用级数展开法求解径向方程得束缚态解和本征函数表达式，涵盖夸克偶素等系统，还对相关工作的数学错误进行澄清。
AI 中文摘要
本文给出了基林贝克势（一种结合了谐波、线性和库仑项的混合模型，也是汤川型势的近似模型）的薛定谔方程的解析解。通过级数展开法求解径向薛定谔方程，得到了该系统束缚态解和本征函数的精确表达式，该系统包括夸克偶素和等离子体环境中的类氢受限原子。此外，对奥布等人（《东欧物理杂志》3，146 - 157，2023）的工作进行了建设性评论，以澄清他们在类似系统分析处理中使用的一个数学错误陈述。
英文摘要
The work presents analytical solutions to the Schrodinger equation for the Killingbeck potential, a Hybrid model combining harmonic, linear and Coulomb terms, and which is also an approximate model of Yukawa-type potentials. The radial Schrodinger equation is solved by means of the series expansion method, thus yielding the exact expressions of both bound-states solutions and eigen-functions for the systems; these systems include quarkonium and confined hydrogen-like atoms in plasma environments. Furthermore, we offer a constructive commentary on the work of Obu et al. (East Eur. J. Phys. 3, 146-157, 2023), with the aim of clarifying a mathematical misstatement used in their analytical treatment of analogous systems.
Comments8 pages
Journal refEast European Journal of Physics, (4), 164-171 (2025)
DOI：10.26565/2312-4334-2025-4-14
