English

Quantum dynamics of relativistic bosons through nonminimal vector square potentials

Quantum Physics 2016-06-24 v3 High Energy Physics - Theory

Abstract

The dynamics of relativistic (scalar and vector) bosons through nonminimal vector square (well and barrier) potentials is studied in the Duffin-Kemmer-Petiau (DKP) formalism. We show that the problem can be mapped in effective Schrodinger equations for a component of the DKP spinor. An oscillatory transmission coefficient is found and there is total reflection. Additionally, the energy spectrum of bound states is obtained and reveals the Schiff-Snyder-Weinberg effect, for specific conditions the potential lodges bound states of particles and antiparticles.

Keywords

Cite

@article{arxiv.1512.07346,
  title  = {Quantum dynamics of relativistic bosons through nonminimal vector square potentials},
  author = {Luiz P. de Oliveira},
  journal= {arXiv preprint arXiv:1512.07346},
  year   = {2016}
}

Comments

8 pages, 3 figures (edited), Version submitted to Annals of Physics

R2 v1 2026-06-22T12:16:26.653Z