Scholarlink

<p>The authors presented an efficient scheme for getting approximate bound states of Dirac equation with spherically symmetric potentials. This method does not require to transform the system of first-order coupled ordinary differential equations for upper- and lower-components of radial part of Dirac spinor to a Schrödinger-like second-order equation. Furthermore, use of the Pekeris or Greene-Aldrich type approximation of centrifugal terms (for vector and/or scalar potentials involving non-algebraic functions in their arguments) may also be avoided. Efficiency of the scheme has been demonstrated for Dirac-Coulomb problem involving various combination of vector and scalar potentials, i) vector potential only, ii) scalar potential only, and iii) scalar-vector potentials having iiia) spin-symmetry, iiib) without spin-pseudo-spin symmetry, whose exact bound state solutions are available. Moreover, the loss of accuracy in the approximate solution due to Pekeris or Greene-Aldrich approximation of the transformed Schrödinger-like equation has been examined and highlighted.</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

On accuracies of approximate bound state solutions of Dirac equation with spherically symmetric potentials

  • 期刊论文

  • 发表日期：

    2026年5月20日

查看全文
  • Sharda Kumari,
  • Sourav Roy,
  • M. M. Panja,
  • B. Talukdar

摘要

The authors presented an efficient scheme for getting approximate bound states of Dirac equation with spherically symmetric potentials. This method does not require to transform the system of first-order coupled ordinary differential equations for upper- and lower-components of radial part of Dirac spinor to a Schrödinger-like second-order equation. Furthermore, use of the Pekeris or Greene-Aldrich type approximation of centrifugal terms (for vector and/or scalar potentials involving non-algebraic functions in their arguments) may also be avoided. Efficiency of the scheme has been demonstrated for Dirac-Coulomb problem involving various combination of vector and scalar potentials, i) vector potential only, ii) scalar potential only, and iii) scalar-vector potentials having iiia) spin-symmetry, iiib) without spin-pseudo-spin symmetry, whose exact bound state solutions are available. Moreover, the loss of accuracy in the approximate solution due to Pekeris or Greene-Aldrich approximation of the transformed Schrödinger-like equation has been examined and highlighted.