  We study, in detail, the supersymmetric quantum mechanics of charge-(1,1)
monopoles in N=2 supersymmetric Yang-Mills-Higgs theory with gauge group SU(3)
spontaneously broken to U(1) x U(1). We use the moduli space approximation of
the quantised dynamics, which can be expressed in two equivalent formalisms:
either one describes quantum states by Dirac spinors on the moduli space, in
which case the Hamiltonian is the square of the Dirac operator, or one works
with anti-holomorphic forms on the moduli space, in which case the Hamiltonian
is the Laplacian acting on forms. We review the derivation of both formalisms,
explicitly exhibit their equivalence and derive general expressions for the
supercharges as differential operators in both formalisms. We propose a general
expression for the total angular momentum operator as a differential operator,
and check its commutation relations with the supercharges. Using the known
metric structure of the moduli space of charge-(1,1) monopoles we show that
there are no quantum bound states of such monopoles in the moduli space
approximation. We exhibit scattering states and compute corresponding
differential cross sections.
