Potential scattering in Dirac field theory

@article{Leo2009PotentialSI,
  title={Potential scattering in Dirac field theory},
  author={Stefano De Leo and Pietro P. Rotelli},
  journal={The European Physical Journal C},
  year={2009},
  volume={62},
  pages={793-797}
}
We develop the potential scattering of a spinor within the context of perturbation field theory. As an application, we reproduce, up to second order in the potential, the diffusion results for a potential barrier of quantum mechanics. An immediate consequence is a simple generalization to arbitrary potential forms, a feature not possible in quantum mechanics. 
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References

SHOWING 1-10 OF 42 REFERENCES

Barrier paradox in the Klein zone

We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrier potential we

Classical Model of the Dirac Electron

A covariant, symplectic, classical dynamical system is presented whose quantization, by replacement of the Poisson brackets with commutators, gives precisely the Dirac electron theory. For the

Quantum field theory

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian

Relativistic quantum mechanics and field theory

QUANTUM THEORY OF RADIATION. Quantization of the Nonrelativistic String. Quantization of the Electromagnetic Field. Interaction of Radiation with Matter. RELATIVISTIC EQUATIONS. The Klein-Gordon

Amplification of coupling for Yukawa potentials

It is well known that Yukawa potentials permit bound states in the Schr\"odinger equation only if the ratio of the exchanged mass to bound mass is below a critical multiple of the coupling constant.

Above barrier Dirac multiple scattering and resonances

We extend an above barrier analysis made with the Schrödinger equation to the Dirac equation. We demonstrate the perfect agreement between the barrier results and back to back steps. This implies the

Mass corrections to the fine structure of hydrogen - like atoms

A relativistic four-dimensional wave equation, derived previously, for bound states of a two-body system is discussed further. For any "instantaneous" interaction function an exact three-dimensional

Fermion-fermion bound state condition for scalar exchanges

The condition for the existence of a bound state between two fermions exchanging massive scalars is derived. For low scalar mass, we reproduce the scalar field model result. The high scalar mass

Introduction to quantum field theory

Even the uninitiated will know that Quantum Field Theory cannot be introduced systematically in just four lectures. I try to give a reasonably connected outline of part of it, from second

Dirac theory of ring-shaped electron distributions in atoms

The time-dependent Dirac equation is solved numerically on a space-time grid for an atom in a strong static magnetic field and a laser field. The resonantly induced relativistic motion of the atomic