Kappa-deformed Dirac oscillator in an external magnetic field

Abstract

We study the solutions of the (2+1)-dimensional kappa-deformed Dirac oscillator in the presence of a constant transverse magnetic field. We demonstrate how the deformation parameter affects the energy eigenvalues of the system and the corresponding eigenfunctions. Our findings suggest that this system could be used to detect experimentally the effect of the deformation. We also show that the hidden supersymmetry of the non-deformed system reduces to a hidden pseudo-supersymmetry having the same algebraic structure as a result of the k-deformation.

v1, 12 pages

References in corpus (15)

• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• Kappa-Minkowski space-time and the star product realizations
• Chirality Quantum Phase Transition in the Dirac oscillator
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Effects of quantum deformation on the spin-1/2 Aharonov-Bohm problem
• Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit
• Relativistic R matrix and continuum shell model
• Revivals of Zitterbewegung of a bound localized Dirac particle
• Spectroscopy of the Dirac oscillator perturbed by a surface delta potential
• Remarks on the Dirac oscillator in $(2+1)$ dimensions
• The 2D $\kappa$-Dirac oscillator
• Relativistic two-body equation based on the extension of the SL(2,C) group
• Supersymmetric Runge-Lenz-Pauli vector for Dirac vortex in topological insulators and graphene
• Effects of quantum deformation on the integer quantum Hall effect