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

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.

23 pages

References in corpus (13)

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Cited by in corpus (5)

• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 2: Spin-zero Duffin-Kemmer-Petiau-like oscillator
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"