General Relativistic Effects of Gravity in Quantum Mechanics -- A Case of Ultra-Relativistic, Spin 1/2 Particles --

Details General Relativistic Effects of Gravity in Quantum Mechanics -- A Case of Ultra-Relativistic, Spin 1/2 Particles -- General Relativistic Effects of Gravity in Quantum Mechanics -- A Case of Ultra-Relativistic, Spin 1/2 Particles --

2006-03-10

arxiv.org/abs/gr-qc/0603035v2

Prog.Theor.Phys. 100 (1998) 1145-1157

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages (PTPTeX); typos added

Scientific paper

10.1143/PTP.100.1145

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.

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