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- W2995462816 abstract "We investigate the quantum mechanical wave equations for free particles of spin 0,1/2,1 in the background of an arbitrary static gravitational field in order to explicitly determine if the phase of the wavefunction is $S/hbar = int p_{mu} dx^{mu} / hbar$, as is often quoted in the literature. We work in isotropic coordinates where the wave equations have a simple managable form and do not make a weak gravitational field approximation. We interpret these wave equations in terms of a quantum mechanical particle moving in medium with a spatially varying effective index of refraction. Due to the first order spatial derivative structure of the Dirac equation in curved spacetime, only the spin 1/2 particle has textit{exactly} the quantum mechanical phase as indicated above. The second order spatial derivative structure of the spin 0 and spin 1 wave equations yield the above phase only to lowest order in $hbar$. We develop a WKB approximation for the solution of the spin 0 and spin 1 wave equations and explore amplitude and phase corrections beyond the lowest order in $hbar$. For the spin 1/2 particle we calculate the phase appropriate for neutrino flavor oscillations." @default.
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- W2995462816 date "2001-09-01" @default.
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- W2995462816 title "The Phase of a Quantum Mechanical Particle in Curved Spacetime" @default.
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- W2995462816 doi "https://doi.org/10.1023/a:1012284625541" @default.
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