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Relativistic Quantum Dynamics of Scalar Massive Charged Bosons in Topologically Nontrivial Space–Time and AB-Effect

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Abstract

In this paper, the behaviour of scalar massive charged bosons in the presence of uniform magnetic and quantum flux fields in a topologically nontrivial \((1+3)\)-dimensional space–time geometry is analyzed. We solved the bosonic wave equation using the parametric Nikiforov–Uvarov method and obtained the eigenvalue solution analytically. We discussed the effects of the nontrivial topology of the geometry and the magnetic field on the eigenvalue solution. Furthermore, we show that the eigenvalue solution depends on the magnetic flux field, which gives us an analogue of the Aharonov–Bohm effect. Finally, we obtain the expression of persistent currents, magnetization, and magnetic susceptibility at zero temperature of the quantum system in a defined state.

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Acknowledgements

We sincerely acknowledged the anonymous kind referees’ for their valuable comments and suggestions.

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  1. Department of Physics, University of Science and Technology Meghalaya, Ri-Bhoi, Meghalaya, 793101, India

    Faizuddin Ahmed

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Ahmed, F. Relativistic Quantum Dynamics of Scalar Massive Charged Bosons in Topologically Nontrivial Space–Time and AB-Effect. Few-Body Syst 64, 5 (2023). https://doi.org/10.1007/s00601-022-01786-6

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