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Phys. Rev. Lett. 103, 042502 (2009) [4 pages]

Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially Deformed Scalar and Vector Potentials

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A. Leviatan
Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

Received 25 March 2009; published 24 July 2009

We consider several classes of symmetries of the Dirac Hamiltonian in 3+1 dimensions, with axially deformed scalar and vector potentials. The symmetries include the known pseudospin and spin limits and additional symmetries which occur when the potentials depend on different variables. Supersymmetries are observed within each class and the corresponding charges are identified.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.042502
DOI:
10.1103/PhysRevLett.103.042502
PACS:
24.10.Jv, 11.30.Pb, 21.60.Cs, 24.80.+y