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The dynamics of spinning extended bodies in general relativity is described by the Mathisson-Papapetrou-Dixon (MPD) equations, which account for the coupling between the spin of the body and the spacetime curvature tensor, leading to a deviation from geodesic motion.
The MPD-like equations can also be obtained for freely propagating spin-1/2 particles in curved spacetime by applying the WKB approximation to the curved-spacetime Dirac equation.
Quantum particles can be in a superposition of different states with different masses, which leads to the need to derive MPD-like equations for such multi-state particles in curved spacetime.
The main challenge in dealing with charged spin-1/2 particles in superposed states is that the mass eigenstates experience different proper times, which makes the proper-time derivative of the superposition ill-defined.
The authors overcome this challenge by first extracting a second-order differential equation for each superposition, and then applying the WKB approximation to these equations.
The resulting equations of motion and spin dynamics for the charged spin-1/2 particles in superposed states are derived, and their comparison with the case of freely propagating neutral particles is discussed.
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by F. Hammad, R... às arxiv.org 10-03-2024
https://arxiv.org/pdf/2410.01787.pdfPerguntas Mais Profundas