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- W2120620246 startingPage "1285" @default.
- W2120620246 abstract "In Cartan's description, classical particles freely falling in a Newtonian gravitational field follow geodesics of a curved spacetime. We cast this geodesic motion into generalized Hamiltonian form and quantize it by Dirac's constraint method in a coordinate-independent way. The Dirac constraint takes a simplified form in special noninertial frames (nonrotating, rigid, Galilean, and Gaussian). Transformation theory of the state function allows us to compare descriptions of a given quantum state by two different observers and to illustrate how the principle of equivalence works for quantum systems. In particular, we show that quantum states of a particle moving in a homogeneous gravitational field and of the gravitational harmonic oscillator can be reduced to the study of plane waves in an appropriate frame." @default.
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- W2120620246 date "1980-09-15" @default.
- W2120620246 modified "2023-10-16" @default.
- W2120620246 title "Gravitation, geometry, and nonrelativistic quantum theory" @default.
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- W2120620246 doi "https://doi.org/10.1103/physrevd.22.1285" @default.
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