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Elementary doublets of bound states of the radial Dirac equation

Mathematical Physics 2009-10-31 v1 math.MP

Abstract

For non-relativistic Schroedinger equations the lowering of their degree by substitution Psi(r) \to F(r) =Psi'(r) /Psi(r) is known to facilitate our understanding and use of their (incomplete, so called quasi-exact) solvability. We show that and how the radial Dirac relativistic equation may quasi-exactly be solved in similar spirit.

Keywords

Cite

@article{arxiv.math-ph/9905003,
  title  = {Elementary doublets of bound states of the radial Dirac equation},
  author = {Miloslav Znojil},
  journal= {arXiv preprint arXiv:math-ph/9905003},
  year   = {2009}
}

Comments

8 pages, to appear in Mod. Phys. Lett. A