Quantum dynamics of relativistic bosons through nonminimal vector square potentials
arXiv:1512.07346 · doi:10.1016/j.aop.2016.06.004
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.
8 pages, 3 figures (edited), Version submitted to Annals of Physics
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