Resonances in the one-dimensional Dirac equation in the presence of a point interaction and a constant electric field

Details Resonances in the one-dimensional Dirac equation in the presence of a point interaction and a constant electric field Resonances in the one-dimensional Dirac equation in the presence of a point interaction and a constant electric field

2005-12-06

arxiv.org/abs/hep-th/0512073v1

Phys.Lett. A352 (2006) 202-205

Physics

High Energy Physics

High Energy Physics - Theory

9 pages. To appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2005.12.003

We show that the energy spectrum of the one-dimensional Dirac equation in the presence of a spatial confining point interaction exhibits a resonant behavior when one includes a weak electric field. After solving the Dirac equation in terms of parabolic cylinder functions and showing explicitly how the resonant behavior depends on the sign and strength of the electric field, we derive an approximate expression for the value of the resonance energy in terms of the electric field and delta interaction strength.

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