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Quantum Algorithms
Confinement limit of Dirac particles in scalar 1D potentials
arXiv
Authors: R. G. Unanyan, J. Otterbach, M. Fleischhauer
Year
2009
Paper ID
9189
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
Abstract
We present a general proof that Dirac particles cannot be localized below their Compton length by symmetric but otherwise arbitrary scalar potentials. This proof does not invoke the Heisenberg uncertainty relation and thus does not rely on the nonrelativistic linear momentum relation. Further it is argued that the result is also applicable for more general potentials, as e.g. generated by nonlinear interactions. Finally a possible realisation of such a system is proposed.
Why This Paper Matters
- It adds a 2009 reference point for readers tracking recent quantum research.
- We present a general proof that Dirac particles cannot be localized below their Compton length by symmetric but otherwise arbitrary scalar potentials.
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