The Dirac-Coulomb Problem for the $\kappa$-Poincare Quantum Group

Abstract

The recently introduced $\kappa$-Poincare-Dirac equation is gauged to treat the $\kappa$-Dirac-Coulomb problem. For the resulting equation, we prove that the perturbation to first order in the quantum group parameter vanishes identically. The second order perturbation is singular, but assuming a heuristic cut-off allows a qualitative estimate of the quantum group parameter.

7 pages, LaTeX, special style file `eqpersec.sty' included separately, DUKE-TH-93-59

References in corpus (1)

• The Quantum Deformed Dirac Equation from the k-Poincare` Algebra

Cited by in corpus (12)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Noncommutative Differential Calculus on the Kappa-Minkowski Space
• Testing Dispersion Relations of Quantum $\kappa$-Poincaré Algebra on Cosmological Ground
• Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
• On the $\kappa$-Dirac Oscillator revisited
• Representation Theory of Quantized Poincare Algebra. Tensor Operators and Their Application to One-Partical Systems
• The 2D $\kappa$-Dirac oscillator
• On the physical contents of q-deformed Minkowski spaces
• Particle and Antiparticle sectors in DSR1 and kappa-Minkowski space-time
• Effects of quantum deformation on the integer quantum Hall effect
• Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
• Kappa-deformed Dirac oscillator in an external magnetic field