One-dimensional scattering of fermions in double Dirac delta potentials

Abstract

The spectrum of bound and scattering states of the one dimensional Dirac Hamiltonian describing fermions distorted by a static background built from two Dirac delta potentials is studied. A distinction will be made between mass-spike and electrostatic Dirac delta-potentials. The second quantisation is then performed to promote the relativistic quantum mechanical problem to a relativistic quantum field theory and study the quantum vacuum interaction energy for fermions confined between opaque plates. The work presented here is a continuation of [Guilarte et al 2019 Front. Phys.7 109].

30 pages, 29 figures

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Cited by in corpus (2)

• The role of scalar current coupling along surfaces
• Self-interacting quantum particles and the Dirac delta potential