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arXiv · 1909.00904

Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time

R. R. Cuzinatto·M. de Montigny·P. J. Pompeia
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Abstract

We examine the non-inertial effects of a rotating frame on a Dirac oscillator in a cosmic string space-time with non-commutative geometry in phase space. We observe that the approximate bound-state solutions are related to the biconfluent Heun polynomials. The related energies cannot be obtained in a closed form for all the bound states. We find the energy of the fundamental state analytically by taking into account the hard-wall confining condition. We describe how the ground-state energy scales with the new non-commutative term as well as with the other physical parameters of the system.

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R. R. Cuzinatto, M. de Montigny, P. J. Pompeia. 2019-09-03. Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time. https://doi.org/10.1007/s10714-019-2593-3

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