Mapping of the 2 + 1 q-deformed Dirac oscillator onto the q-deformed Jaynes-Cummings model
Parisa Majari, Alfredo Luis, Mohammad Reza Setare · Europhysics Letters (EPL) · 2017
We develop the equivalence between the two-dimensional Dirac oscillator and the anti–Jaynes-Cummings model within a q -deformed scenario. We solve the Hamiltonian spectrum and the time evolution for number and coherent initial states. We show the lack of preservation of the q -deformed versions of the total angular momentum that reproduces a collapse-revival structure. We provide suitable relations for the non-relativistic limit.