Supersymmetric patterns in the pseudospin, spin, and coulomb limits of the dirac equation with scalar and vector potentials

A. Leviatan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

68 Scopus citations

Abstract

A common interwining relation providing a basis for a unified treatment of three seperate limits at which a Dirac Hamiltonian, with scalar and vector potentials exhibited supersymmetric patterns was discussed. It was shown that in the Coulomb limit, the potentials were 1/r but their strength were otherwise arbitrary. In the pseudospin or spin limits, there were no restrictions on the r dependence of the potentials but a constraint on their sum or differences was there. It was observed that the characteristic degeneracies reflected the presence of additional conserved operators, Johnson-Lippman operator and the relativistic pseudospin and spin generators.

Original languageAmerican English
Article number202501
Pages (from-to)202501-1-202501-4
JournalPhysical Review Letters
Volume92
Issue number20
DOIs
StatePublished - 21 May 2004

Bibliographical note

Funding Information:
This work was supported by the Israel Science Foundation.

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