Progress of Theoretical Physics
Vol. 100 No. 6 (1998) pp. 1145-1157
URL : http://ptp.ipap.jp/link?PTP/100/1145/
DOI : 10.1143/PTP.100.1145

General Relativistic Effects of Gravity in Quantum Mechanics

— A Case of Ultra-Relativistic, Spin 1/2 Particles —

Kohkichi Konno^*) and Masumi Kasai

(Received June 9, 1998)

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.

^*)Present address: Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan.

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