Exact propagating Dirac wave packets are constructed in the potential V=-v0/ρ, including elementary-function families that recover Hermite-Gauss packets nonrelativistically, with spin-decoupled probability density and time-freezing at critical coupling.
Das, (2021), arXiv:2112.13180 [quant-ph]
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Exact propagating Dirac wave packets in an attractive Coulomb-like potential
Exact propagating Dirac wave packets are constructed in the potential V=-v0/ρ, including elementary-function families that recover Hermite-Gauss packets nonrelativistically, with spin-decoupled probability density and time-freezing at critical coupling.