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Geometric phase for Dirac Hamiltonian under gravitational fields in the nonrelativistic regime

Ghosh, T and Mukhopadhyay, B (2021) Geometric phase for Dirac Hamiltonian under gravitational fields in the nonrelativistic regime. In: International Journal of Modern Physics D .

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Official URL: https://doi.org/10.1142/S0218271821500905

Abstract

We show the appearance of geometric phase in a Dirac particle traversing in nonrelativistic limit in a time-independent gravitational field. This turns out to be similar to the one originally described as a geometric phase in magnetic fields. We explore the geometric phase in the Kerr and Schwarzschild geometries, which have significant astrophysical implications. Nevertheless, the work can be extended to any spacetime background including that of time-dependent. In the Kerr background, i.e. around a rotating black hole, geometric phase reveals both the Aharonov-Bohm effect and Pancharatnam-Berry phase. However, in a Schwarzschild geometry, i.e. around a nonrotating black hole, only the latter emerges. We expect that our assertions can be validated in both the strong gravity scenarios, like the spacetime around black holes, and weak gravity environment around Earth. © World Scientific Publishing Company.

Item Type: Journal Article
Publication: International Journal of Modern Physics D
Publisher: World Scientific
Additional Information: The copyright for this article belongs to World Scientific
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 20 Nov 2021 12:41
Last Modified: 20 Nov 2021 12:41
URI: http://eprints.iisc.ac.in/id/eprint/69915

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