One-dimensional scattering of fermions in double Dirac delta potentials

• URL: http://arxiv.org/abs/2305.02281v2
• Date: Tue, 29 Aug 2023 12:11:28 GMT
• Title: One-dimensional scattering of fermions in double Dirac delta potentials
• Authors: Luc\'ia Santamar\'ia-Sanz
• Abstract summary: The spectrum of bound and scattering states of the one dimensional Dirac Hamiltonian describing fermions distorted by a static background is studied. A distinction will be made between mass-spike and electrostatic Dirac delta-potentials.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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