The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential

Abstract

The problem of neutral fermions subject to an inversely linear potential is revisited. It is shown that an infinite set of bound-state solutions can be found on the condition that the fermion is embedded in an additional uniform background potential. An apparent paradox concerning the uncertainty principle is solved by introducing the concept of effective Compton wavelength.

References in corpus (1)

• Bounded solutions of neutral fermions with a screened Coulomb potential

Cited by in corpus (5)

• Relativistic confinement of neutral fermions with a trigonometric tangent potential
• On the Dirac equation with PT-symmetric potentials in the presence of position-dependent mass
• Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
• Missing solution in a Cornell 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