Year: 1999
Type: article
Abstract: We consider a single particle which is bound by a central potential and obeys the Dirac equation. We compare two cases, $a$ and $b$, in which the masses are the same but ${V}_{a}<{V}_{b}$, where $V$ is the time component of a vector potential. We prove generally that for each discrete eigenvalue $E$ whose corresponding (large and small) radial wave functions have no nodes, it necessarily follows that ${E}_{a}<{E}_{b}$. As an illustration, this general relativistic comparison theorem is applied to approximate the Dirac spectrum generated by a screened-Coulomb potential.
Source: Physical Review Letters
Author: Richard L. Hall
Institution: Concordia University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4248517133