Volume 120, Number 4, November 2017
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||05 February 2018|
Mapping of the 2 + 1 q-deformed Dirac oscillator onto the q-deformed Jaynes-Cummings model
1 Department of Science, University of Kurdistan - Sanandaj, Iran
2 Department of Optics, University Complutense - Madrid, Spain
Received: 25 August 2017
Accepted: 15 January 2018
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.
PACS: 42.50.Pq – Cavity quantum electrodynamics; micromasers / 03.65.Pm – Relativistic wave equations / 03.65.Ca – Formalism
© EPLA, 2018
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