PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
Klein-Gordon (KG) particles in cosmic string rainbow gravity spacetime and a uniform magnetic field are studied in the context of the so called, effectively speaking, position-dependent mass (PDM) settings. We show that the corresponding KG-equation collapses into a two-dimensional radial Schrödinge...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323001272 |
| _version_ | 1827987276205916160 |
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| author | Omar Mustafa |
| author_facet | Omar Mustafa |
| author_sort | Omar Mustafa |
| collection | DOAJ |
| description | Klein-Gordon (KG) particles in cosmic string rainbow gravity spacetime and a uniform magnetic field are studied in the context of the so called, effectively 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-Coulomb particles (both constant mass and PDM ones). In so doing, we consider, with y=E/EP, four pairs of rainbow functions: (a) g0(y)=1, g1(y)=1−ϵy2, (b) g0(y)=1, g1(y)=1−ϵy, (c) g0(y)=g1(y)=(1−ϵy)−1, and (d) g0(y)=(eϵy−1)/ϵy, g1(y)=1. Interestingly, we observe that the first pair in (a) introduces the Planck energy Ep as a maximum possible KG-particle/antiparticle energy value. |
| first_indexed | 2024-04-09T23:45:24Z |
| format | Article |
| id | doaj.art-f59d51b524c043bc86c1ff06a20a6ec4 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-09T23:45:24Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-f59d51b524c043bc86c1ff06a20a6ec42023-03-18T04:40:06ZengElsevierPhysics Letters B0370-26932023-04-01839137793PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic fieldOmar Mustafa0Department of Physics, Eastern Mediterranean University, G. Magusa, north Cyprus, Mersin 10, TurkeyKlein-Gordon (KG) particles in cosmic string rainbow gravity spacetime and a uniform magnetic field are studied in the context of the so called, effectively 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-Coulomb particles (both constant mass and PDM ones). In so doing, we consider, with y=E/EP, four pairs of rainbow functions: (a) g0(y)=1, g1(y)=1−ϵy2, (b) g0(y)=1, g1(y)=1−ϵy, (c) g0(y)=g1(y)=(1−ϵy)−1, and (d) g0(y)=(eϵy−1)/ϵy, g1(y)=1. Interestingly, we observe that the first pair in (a) introduces the Planck energy Ep as a maximum possible KG-particle/antiparticle energy value.http://www.sciencedirect.com/science/article/pii/S0370269323001272Klein-Gordon (KG) particlesPosition-dependent massCosmic string spacetimeRainbow gravityUniform magnetic field |
| spellingShingle | Omar Mustafa PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field Physics Letters B Klein-Gordon (KG) particles Position-dependent mass Cosmic string spacetime Rainbow gravity Uniform magnetic field |
| title | PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field |
| title_full | PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field |
| title_fullStr | PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field |
| title_full_unstemmed | PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field |
| title_short | PDM KG-Coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field |
| title_sort | pdm kg coulomb particles in cosmic string rainbow gravity spacetime and a uniform magnetic field |
| topic | Klein-Gordon (KG) particles Position-dependent mass Cosmic string spacetime Rainbow gravity Uniform magnetic field |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323001272 |
| work_keys_str_mv | AT omarmustafa pdmkgcoulombparticlesincosmicstringrainbowgravityspacetimeandauniformmagneticfield |