Generalized Dirac Oscillator in Cosmic String Space-Time

Abstract

In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum p μ with its alternative p μ + mωβf μ (x μ ). In particular, the quantum dynamics is considered for the function f μ (x μ ) to be taken as cornell potential, exponential-type potentialand singular potential. For cornell potential and exponential-type potential, the corresponding radial equations can be mapped into the confluent hypergeometric equation and hypergeometric equation separately. The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function.The equations satisfed by the exact energy spectrum have been found. For singular potential, the wave function and energy eigenvalue are given exactly by power series method.

Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time

“…12in [30]). Thus, we can see that the cosmic string α modify the relativistic energy eigenvalue (66) in comparison to those results obtained in [30].…”

“…Based on this, a generalized Dirac oscillator in the cosmic string space-time was studied by Deng et al in Ref. [66] where the four-momentum p μ is replaced with its alternative p μ + mω βf μ ðx μ Þ. In the literature, f μ ðx μ Þ has chosen similar to potentials encountered in quantum mechanics (Cornell-type, exponential-type, singular, Morse-type, Yukawa-like etc.).…”

“…To generalized the Klein-Gordon oscillator, we adopted the idea considered in Refs. [34,64,66,68,69] by replacing r ⟶ f ðrÞ as…”

“…We choose the function f ðrÞ a Cornell-type given by [34,64,66,69] Substituting the function (11) and Cornell potential (6) into the Eq. (9), we obtain the following equation:…”

Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

“…Based on the model for a relativistic quantum oscillator that interacts with a spin- 1 2 fermionic field, which is known in the literature as the Dirac oscillator [63][64][65][66][67][68][69][70][71][72][73][74], Bruce and Minning proposed a model for a relativistic quantum oscillator that interacts with a scalar field, where this model has become known in the literature as the Klein-Gordon oscillator [31,[75][76][77][78][79][80][81][82][83][84][85][86]. The Klein-Gordon oscillator is described through the coupling ∂ μ + mωX μ into the Klein-Gordon equation, where ω is the angular frequency of the Klein-Gordon oscillator and X μ = (0, ρ, 0, 0).…”