Relativistic Landau–Aharonov–Casher quantization in the cosmic string spacetime in the context of rainbow gravity
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil
2 Faculdade de Educação, Ciências e Letras do Sertão Central, Universidade Estadual do Ceará, 63900-000, Quixadá, CE, Brazil
Accepted: 2 October 2022
Published online: 14 October 2022
We investigate the influence of modified backgrounds of the cosmic string spacetime determined by the rainbow gravity on the relativistic Landau–Aharonov–Casher quantization. We show that the spectrum of energy for the relativistic Landau–Aharonov–Casher quantization is modified and there exist analogues of the Aharonov–Bohm effect for bound states. In addition, we graphically compare the energy eigenvalues obtained in two rainbow gravity scenarios. From this perspective, we raise a discussion about which of these rainbow gravity scenarios is the most energetically favourable.
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