  We discuss the link between the quasielectron wavefunctions proposed by
Laughlin and by Jain and show both analytically and numerically that Laughlin's
quasielectron is a non-local composite fermion state. Composite-fermion states
are typically discussed in terms of the composite-fermion Landau levels (also
known as Lambda levels). In standard composite-fermion quasielectron
wavefunctions the excited Lambda levels have sub-extensive occupation numbers.
However, once the Laughlin's quasielectron is reformulated as a composite
fermion, an overall logarithmic occupation of the first Lambda level is made
apparent, which includes orbitals that are localized at the boundary of the
droplet. Even though the wavefunction proposed by Laughlin features a localised
quasielectron with well-defined fractional charge, it exhibits some non-trivial
boundary properties which motivate our interpretation of Laughlin's
quasielectron as a non-local object. This has an important physical
consequence: Laughlin's quasielectron fractionalizes an incorrect spin, deeply
related to the anyonic braiding statistics. We conclude that Laughlin's
quasielectron is not a good candidate for a quasielectron wavefunction.
