Quantum dynamics of relativistic bosons through nonminimal vector square potentials
Luiz P. de Oliveira (USP)
TL;DR
This paper investigates the quantum behavior of relativistic bosons in nonminimal vector square potentials using the DKP formalism, revealing oscillatory transmission, total reflection, and bound states exhibiting the Schiff-Snyder-Weinberg effect.
Contribution
It introduces a mapping of the DKP equations to effective Schrödinger equations and analyzes bound states and scattering in this context, highlighting new relativistic quantum phenomena.
Findings
Oscillatory transmission coefficient observed
Total reflection in scattering scenarios
Bound states exhibit Schiff-Snyder-Weinberg effect
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.
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