Confinement limit of Dirac particles in scalar 1D potentials

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.

2 pages

References in corpus (7)

• Chiral tunneling and the Klein paradox in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Observing Zitterbewegung in Ultracold Atoms
• Coherent Control of Stationary Light Pulses
• Atomic Zitterbewegung
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Cited by in corpus (3)

• Quantum speed limit for a relativistic electron in a uniform magnetic field
• Photonic band-gap properties for two-component slow light
• The stationary Dirac equation as a generalized Pauli equation for two quasiparticles