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00925njm 22002777a 4500 dc Santamaría Sanz, Lucía author 2023-08 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' δ-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). 1751-8113 http://hdl.handle.net/10259/10006 10.1088/1751-8121/acef0d 1751-8121 One-dimensional scattering of fermions in double Dirac delta potentials