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arXiv · 2305.02281

One-dimensional scattering of fermions in double Dirac delta potentials

Lucía Santamaría-Sanz
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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].

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Lucía Santamaría-Sanz. 2023-05-03. One-dimensional scattering of fermions in double Dirac delta potentials. https://doi.org/10.1088/1751-8121%2Facef0d

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