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Prog. Theor. Phys. Vol. 100 No. 6 (1998) pp. 1145-1157
General Relativistic Effects of Gravity in Quantum Mechanics
— A Case of Ultra-Relativistic, Spin 1/2 Particles
—
Kohkichi Konno*) and
Masumi Kasai
Faculty of Science and Technology, Hirosaki University,
Hirosaki 036-8561, Japan
(Received June 9, 1998)
Abstract:
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.
URL :
http://ptp.ipap.jp/link?PTP/100/1145/
DOI : 10.1143/PTP.100.1145
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