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- W3092652168 abstract "We show the appearance of geometric phase in a Dirac particle traversing in non-relativistic limit in a time-independent field. This turns out to be similar to the one originally described as a geometric phase in magnetic fields. We further discuss the natural occurrence of corresponding gravitational Landau energy levels in both relativistic and non-relativistic regimes. The Dirac Hamiltonian in field is found to be non-Hermitian and, hence, the pseudo-Hermitian approach has been invoked. The dissipative nature of background in the dynamics of semi-classical Dirac particles is manifested by the origin of complex oscillation frequency in the underlying Landau quantization. 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 by observations in both the extreme gravity scenarios, like the spacetime around rotating black holes, and weak gravity environment around earth." @default.
- W3092652168 created "2020-10-22" @default.
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- W3092652168 date "2020-10-14" @default.
- W3092652168 modified "2023-09-28" @default.
- W3092652168 title "Geometric phase for pseudo-Hermitian Dirac Hamiltonian in gravitational fields and corresponding gravitational Landau levels" @default.
- W3092652168 hasPublicationYear "2020" @default.
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