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 language | American English |
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Article number | 202501 |
Pages (from-to) | 202501-1-202501-4 |
Journal | Physical Review Letters |
Volume | 92 |
Issue number | 20 |
DOIs | |
State | Published - 21 May 2004 |
Bibliographical note
Funding Information:This work was supported by the Israel Science Foundation.