PDM KGoscillators in cosmic string rainbow gravity spacetime in a nonuniform magnetic field
Abstract
We consider positiondependent mass (PDM) KleinGordon (KG) particles in cosmic string rainbow gravity spacetime in a nonuniform magnetic field. The corresponding KGequation is reduced into the onedimensional form of the twodimensional radial Schrödingeroscillator like equation (hence the notion KGoscillator). We first report on the effects of rainbow gravity on the energy levels of KGoscillators with constant mass. Next, we include the PDM settings so that KGoscillators like interaction are introduced. The effects of PDM on the spectra of KGoscillators in cosmic string rainbow gravity spacetime are also reported. In both cases four pairs of rainbow functions are considered: (a) $% g_{_{0}}\left( y\right) =1$, $g_{_{1}}\left( y\right) =\sqrt{1\epsilon y^{2}% }$, (b) $g_{_{0}}\left( y\right) =1$, $g_{_{1}}\left( y\right) =\sqrt{% 1\epsilon y}$, (c) $g_{_{0}}\left( y\right) =g_{_{1}}\left( y\right) =\left( 1\epsilon y\right) ^{1}$, and (d) $g_{_{0}}\left( y\right) =\left( e^{\epsilon y}1\right) /\epsilon y$, $g_{_{1}}\left( y\right) =1$, where $y=E/E_p$ and $\epsilon$ is the rainbow parameter. We report that, as long as KGparticles are in point, the rainbow functions pair in (a) is the only pair to emphasis that the Planck energy is the maximum possible energy the KGparticles may have.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.05464
 arXiv:
 arXiv:2301.05464
 Bibcode:
 2023arXiv230105464M
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 Quantum Physics
 EPrint:
 This manuscript has been revised/modifies into a completely different context . The reader may wish to see this in arXiv:2304.06546