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Title: Geometric phase for Dirac Hamiltonian under gravitational fields in the nonrelativistic regime
Authors: Ghosh, Tanuman
Mukhopadhyay, Banibrata
Keywords: Geometric phase
Dirac equation
semi-classical theory
classical black holes
field theory
curved spacetime
Issue Date: Aug-2021
Publisher: World Scientific Publishing
Citation: International Journal of Modern Physics D, 2021, Vol.30, Article Number - 2150090
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.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0218-2718
1793-6594 (Online)
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Copyright: 2021 World Scientific Publishing.
Appears in Collections:Research Papers (A&A)

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