Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions

Abstract

We point out a misleading treatment in the recent literature regarding analytical solutions for nonminimal vector interaction for spin-one particles in the context of the Duffin-Kemmer-Petiau (DKP) formalism. In those papers, the authors use improperly the nonminimal vector interaction endangering in their main conclusions. We present a few properties of the nonminimal vector interactions and also present the correct equations to this problem. We show that the solution can be easily found by solving Schrödinger-like equations. As an application of this procedure, we consider spin-one particles in presence of a nonminimal vector linear potential.

16 pages. arXiv admin note: substantial text overlap with arXiv:0905.2389

References in corpus (5)

• Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator
• Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory
• Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory
• An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy
• Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential

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• Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
• Quantum dynamics of relativistic bosons through nonminimal vector square potentials
• The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum
• Quasi-exactly-solvable confining solutions for spin-1 and spin-0 bosons in (1+1)-dimensions with a scalar linear potential
• Three dimensional DKP oscillator in a curved Snyder space
• Generalized solutions of the Dirac equation, W bosons, and beta decay
• The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction
• (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
• On Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions