Scattering and bound states of spin-0 particles in a nonminimal vector double-step potential

Abstract

The problem of spin-0 particles subject to a nonminimal vector double-step potential is explored in the context of the Duffin-Kemmer-Petiau theory. Surprisingly, one can never have an incident wave totally reflected and the transmission amplitude has complex poles corresponding to bound states. The interesting special case of bosons embedded in a sign potential with its unique bound-state solution is analyzed as a limiting case.

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References in corpus (3)

• Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator
• Bound states of the Duffin-Kemmer-Petiau equation with a mixed minimal-nonminimal vector cusp potential
• On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background

Cited by in corpus (3)

• Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
• Quantum dynamics of relativistic bosons through nonminimal vector square potentials
• Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential