Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional spacetime

Abstract

The intrinsically relativistic problem of spinless particles subject to a general mixing of vector and scalar kink-like potentials ($\sim \tanh ,\gamma x$) is investigated. The problem is mapped into the exactly solvable Surm-Liouville problem with the Rosen-Morse potential and exact bounded solutions for particles and antiparticles are found. The behaviour of the spectrum is discussed in some detail. An apparent paradox concerning the uncertainty principle is solved by recurring to the concept of effective Compton wavelength.

13 pages, 4 figures

References in corpus (4)

• Klein-Gordon particles in mixed vector-scalar inversely linear potentials
• Trapping neutral fermions with kink-like potentials
• Confinement of spinless particles by Coulomb potentials in two-dimensional space-time
• Effects of a mixed vector-scalar screened Coulomb potential for spinless particles

Cited by in corpus (8)

• Effective-mass Klein-Gordon Equation for non-PT/non-Hermitian Generalized Morse Potential
• Particle resonance in the (1+1)-dimensional Dirac equation with kink-like vector potential and delta interaction
• Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
• 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
• The Spinless Relativistic Kink-Like Problem
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential
• Some new solutions to the Klein-Gordon equation in 1-1D space-time in the presence of time dependent potentials