General relativistic effects of gravity in quantum mechanics: A Case of ultrarelativistic, spin 1/2 particles

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The two-component Weyl equation with general relativistic corrections is obtained in the case of a slowly rotating, weak gravitational field. Our approach is also applied to neutrino oscillations in the presence of a gravitational field. The relative phase of two different mass eigenstates is calculated in radial propagation, and the result is compared with those of previous works.

gravitation
quantum mechanics
general relativity
space-time: Kerr
spin: 1/2
Dirac equation
Weyl equation
neutrino: oscillation

References(16)

Figures(0)

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