The superradiance phenomenon in spin-one particles

Abstract

In this article, we solve the Duffin--Kemmer--Petiau (DKP) equation in the presence of hyperbolic tangent potential for spin-one particles. By partitioning the spin-one spinor, we show that the DKP equation is equivalent to the Klein--Gordon equation formalism. The scattering solutions are derived in terms of hypergeometric functions. The reflection $R$ and transmission $T$ coefficients are calculated in terms of the Gamma functions. The results show the presence of the superradiance phenomenon when $R$ for a specific region in the potential becomes greater than one.

arXiv comment12 pages, 4 figures

References in corpus (6)

• History and Physics of the Klein Paradox
• On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
• Bound states of the Duffin-Kemmer-Petiau equation with a mixed minimal-nonminimal vector cusp potential
• Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory
• Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta
• The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum

Cited by in corpus (1)

• The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction