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.
Detection Time Distribution Predicted Using Absorbing Boundary Conditions and Imaginary Potentials
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
There are several inequivalent proposals in the literature for how to compute the probability distribution of the time that a detector registers for the arrival of a quantum particle. For three of these proposals, based on two kinds of absorbing boundary conditions and imaginary potentials, we compute the predicted distribution for an experimental setup involving a single non-relativistic quantum particle with spin 0 or 1/2 in a wave guide along the $z$ axis with the detector waiting downstream. We find that the distribution shows signs of partial reflection of the wave function off of the detector; for a spin-1/2 wave function, it is independent of the initial spin orientation for the parameters tested but does depend, for boundary conditions coupling to the spin, on the width of the wave guide. We also compare our predictions with the competing ones of Das and D\"urr [arXiv:1802.07141].
fields
quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Spin-coupled absorbing boundary condition for spin-1/2 particles creates spin-momentum impedance that filters detection flux and produces sqrt(ω)-scaled mean detection times in harmonic guides.
citing papers explorer
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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.
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Spin-Momentum Impedance and Filtering by a Spin-Coupled Absorbing Boundary Condition
Spin-coupled absorbing boundary condition for spin-1/2 particles creates spin-momentum impedance that filters detection flux and produces sqrt(ω)-scaled mean detection times in harmonic guides.