Effects of a mixed vector-scalar screened Coulomb potential for spinless particles

Abstract

The problem of a spinless particle subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and its bounded solutions are found. Some unusual results, including the existence of a bona fide solitary zero-eigenmode solution, are revealed for the Klein-Gordon equation. The cases of pure vector and scalar potentials, already analyzed in previous works, are obtained as particular cases.

13 pages, 2 figures

References in corpus (1)

• Bounded solutions of neutral fermions with a screened Coulomb potential

Cited by in corpus (7)

• Bound states of the Duffin-Kemmer-Petiau equation with a mixed minimal-nonminimal vector cusp potential
• Semirelativistic Hamiltonians and the auxiliary field method
• Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials
• Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
• Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional spacetime
• Unified Treatment of Mixed Vector-Scalar Screened Coulomb Potentials for Fermions
• Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states