Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials

Abstract

The Klein-Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, $V_v=V_s+const.$ These isospectral problems are solved in a case of squared trigonometric potential functions and bound states for either particles or antiparticles are found. The eigenvalues and eigenfuntions are discussed in some detail. It is revealed that a spin-0 particle is better localized than a spin-1/2 particle when they have the same mass and are subject to the same potentials.

9 pages, 3 figures

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Cited by in corpus (9)

• Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential
• Fermion localization on two-field thick branes
• Fermion localization on branes with generalized dynamics
• Remarks on the Dirac oscillator in $(2+1)$ dimensions
• Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
• Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings
• Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Stationary states of fermions in a sign potential with a mixed vector-scalar coupling