Quantum dynamics of photon in rainbow gravity. (English) Zbl 1473.83103
Summary: In the present article, quantum dynamics of the photon is investigated in the cosmic string spacetime via gravity’s rainbow. We solve the mDKP (massless Duffin-Kemmer-Petiau) equation exactly and obtain the energy spectrum of photon. Then, we solve the Maxwell equations in the same gravity’s rainbow background and show that the solutions obtained are equivalent to the results of the photon equation. The energy spectrum of the photon is analyzed for three different rainbow functions.
MSC:
| 83F05 | Relativistic cosmology |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81V80 | Quantum optics |
| 83C22 | Einstein-Maxwell equations |
| 81R20 | Covariant wave equations in quantum theory, relativistic quantum mechanics |
| 35P05 | General topics in linear spectral theory for PDEs |
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