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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7836
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dc.contributor.authorGhosh, Tanuman-
dc.contributor.authorMukhopadhyay, Banibrata-
dc.date.accessioned2021-10-21T05:19:03Z-
dc.date.available2021-10-21T05:19:03Z-
dc.date.issued2021-08-
dc.identifier.citationInternational Journal of Modern Physics D, 2021, Vol.30, Article Number - 2150090en_US
dc.identifier.issn0218-2718-
dc.identifier.issn1793-6594 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/7836-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe 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.en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2020arXiv201005945G/abstracten_US
dc.relation.urihttps://arxiv.org/abs/2010.05945en_US
dc.relation.urihttps://doi.org/10.1142/S0218271821500905en_US
dc.rights2021 World Scientific Publishing.en_US
dc.subjectGeometric phaseen_US
dc.subjectDirac equationen_US
dc.subjectsemi-classical theoryen_US
dc.subjectclassical black holesen_US
dc.subjectfield theoryen_US
dc.subjectcurved spacetimeen_US
dc.titleGeometric phase for Dirac Hamiltonian under gravitational fields in the nonrelativistic regimeen_US
dc.typeArticleen_US
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