Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; the SUSY approach

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.05.013· OSTI ID:21457136

Zarrinkamar, S ^[1]; Rajabi, A A; Hassanabadi, H ^[1]

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1. Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood (Iran, Islamic Republic of)

The problem of analytical solutions of the 3-dimensional Dirac equation is usually studied via techniques such as The Nikiforov-Uvarov (NU) method. Here, we see that one of the most attractive potentials can be brought into a well-known form of Schroedinger-like problem possessing known solutions via the methodology of supersymmetry (SUSY). Next, using the idea of shape invariance, we calculate exact solutions of Dirac equation for quadratic scalar and vector potentials in the presence of a tensor potential that depends on the radial component either linearly or inversely. The tensor potential itself, besides its applications, removes degeneracy, too.

• OSTI ID: 21457136
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 11 Vol. 325; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
EXACT SOLUTIONS
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
SCALARS
SCHROEDINGER EQUATION
SPIN
SUPERSYMMETRY
SYMMETRY
TENSORS
THREE-DIMENSIONAL CALCULATIONS
VECTORS
WAVE EQUATIONS