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- W3177184013 abstract "We reduce Dirac's spinor formalism for a spin 1/2 particle to a complex wavefunction description in curved spacetimes. We consider a localized fermionic particle in curved spacetimes and perform an expansion in terms of the acceleration and curvature around the center of mass of the system, generalizing the results of [Phys. Rev. D 22, 1922]. Under a non-relativistic approximation, one obtains a quantum description in a Hilbert space of complex wavefunctions defined in the rest space of the system. The wavefunction of the particle then evolves according to a modified Schrodinger equation associated with a symmetric Hamiltonian. When compared to the standard Schrodinger equation for a wavefunction, we obtain corrections in terms of the acceleration of the system's center of mass and curvature of spacetime along its trajectory. In summary, we provide a formalism for the use of a complex wavefunction to describe a localized quantum particle in curved spacetimes." @default.
- W3177184013 created "2021-07-05" @default.
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- W3177184013 date "2021-08-13" @default.
- W3177184013 modified "2023-10-14" @default.
- W3177184013 title "A wavefunction description for a localized quantum particle in curved spacetimes" @default.
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- W3177184013 doi "https://doi.org/10.1088/1361-6382/ac103d" @default.
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