PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field

Omar Mustafa

doi:10.1016/j.physletb.2023.137793

paper

PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field

arXiv:2301.12370 · doi:10.1016/j.physletb.2023.137793

Abstract

Klein-Gordon (KG) particles in cosmic string rainbow gravity spacetime and a uniform magnetic field are studied in the context of the so called, metaphorically speaking, position-dependent mass (PDM) settings. We show that the corresponding KG-equation collapses into a two-dimensional radial Schrödinger-Coulomb like model. The exact textbook solution of which is used to find the energies and wave functions of KG-Coulombic particles (both constant mass and PDM ones). In so doing, we consider, with $y = E / E_{P}$ , four pairs of rainbow functions: (a) , $g_{_{1}}\left( y\right) =\sqrt{1-εy^{2}% }$, (b) $g_{_{0}} (y) = 1$ , $g_{_{1}}\left( y\right) =\sqrt{% 1-εy}$, (c) $g_{_{0}} (y) = g_{_{1}} (y) = (1 - ε y)^{- 1}$ , and (d) $g_{_{0}} (y) = (e^{ε y} - 1) / ε y$ , $g_{_{1}} (y) = 1$ . Interestingly, we observe that the first pair in (a) introduces the Planck energy $E_{p}$ as a maximum possible KG-particle/antiparticle energy value.

arXiv comment14 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:2301.05464

PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field

Abstract

References in corpus (37)

Cited by in corpus (17)