Description
Moore and Read's Pfaffian wave function remains one of the
leading candidates for the description of the electronic
ground state of the fractional quantum Hall plateaux at
filling $\nu$ = 5/2. Much effort has been devoted to
understanding the quasihole excitations but not much is
known about the quasielectron excitations and about the
neutral excitations (excitons), which can be viewed as
combinations of quasiholes and quasielectrons. In this talk,
we propose trial wave functions for quasielectron and
exciton excitations for the Pfaffian fractional quantum Hall
state and study these numerically. The trial wave functions
are shown to have good overlaps with wave functions obtained
by exact diagonalization of the model 3-body Hamiltonian for
which the Pfaffian state is an exact zero energy ground
state of maximal density.
