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Global structure and holonomy of conserved resolutions in the cylindrical Dirac doublet
Zhongze Guo, Bei Xu, Qiang Gu
Cylindrical Dirac modes underlie constructions in rotating QCD matter, boost-invariant Dirac-field quantization in heavy-ion physics, and high-energy twisted-particle scattering. T…
Unified Exact Cylindrical Dirac Modes and Symmetry-Resolved Quantum Geometry
Zhongze Guo, Bei Xu, Qiang Gu
Exact cylindrical solutions of the free Dirac equation provide natural single-particle modes for a broad class of axially symmetric relativistic fermion systems, including electron…
Vortex-Enhanced Zitterbewegung in Relativistic Electron Wave Packets
Zhongze Guo, Bei Xu, Qiang Gu
Zitterbewegung (ZBW), the trembling motion predicted by the Dirac equation, has long remained unobservable in free electrons due to its sub-Compton scale. We elaborately construct…
Spin-Orbit Structure and Helicity Anomaly in Relativistic Electron Vortex Beams
Zhongze Guo, Bei Xu, Qiang Gu
The relativistic electron vortex beam (REVB) has attracted increasing attention due to its nontrivial spin-orbit structure recently. As relativistic electrons are governed by the D…