2023/01/13 by Omar Mustafa, Mustafa, Omar
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Gyrotron and Vacuum Electronics Research #High Energy Physics - Phenomenology (hep-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2301.05464
openalex publication_date 2023/01/13 · openalex created_date 2023/01/17 · openalex updated_date 2026/07/28
We consider position-dependent mass (PDM) Klein-Gordon (KG) particles in cosmic string rainbow gravity spacetime in a non-uniform magnetic field. The corresponding KG-equation is reduced into the one-dimensional form of the two-dimensional radial Schrödinger-oscillator like equation (hence the notion KG-oscillator). We first report on the effects of rainbow gravity on the energy levels of KG-oscillators with constant mass. Next, we include the PDM settings so that KG-oscillators like interaction are introduced. The effects of PDM on the spectra of KG-oscillators in cosmic string rainbow gravity spacetime are also reported. In both cases four pairs of rainbow functions are considered: (a) % g_0( y) =1, g_1( y) =√1-εy2% , (b) g_0( y) =1, g_1( y) =√(% 1-εy), (c) g_0( y) =g_1( y) =( 1-εy) -1, and (d) g_0( y) =( eεy-1) /εy, g_1( y) =1, where y=E/Ep and ε is the rainbow parameter. We report that, as long as KG-particles 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 KG-particles may have.