- Open Access
Geometrical reconstruction of Dirac solutions: Gravitational interactions
Phys. Rev. D 112, 085003 – Published 6 October, 2025
DOI: https://doi.org/10.1103/g1mm-rz18
Abstract
We develop a technique to construct solutions of the Dirac equation employing the underlying group symmetries and the classical-quantum relationship within the Clifford algebra formalism. In particular, we construct a novel solution of the Dirac equation in the form of an electron vortex beam in a gravitational plane wave and show its relationship to the solution of the classical analog of the Dirac equation—rotor equation—for a particle in a gravitational wave. Our approach put forward a new paradigm in treating dynamical problems based on the underlying group symmetries.
Physics Subject Headings (PhySH)
Corrections
28 May, 2026
Correction: Reference [16] was fixed to reflect the correct source information.
Article Text
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