Various electromagnetic systems can carry an angular momentum in their {\bfE} and {\bf B} fields. The electromagnetic field angular momentum (EMAM) ofthese systems can combine with the spin angular momentum to give compositefermions or composite bosons. In this paper we examine the possiblity that anEMAM could provide an explanation of the fractional quantum Hall effect (FQHE)which is complimentary to the Chern-Simons explanation. We also examine a toymodel of a non-BCS superconductor (e.g. high $T_c$ superconductors) in terms ofan EMAM. The models presented give a common, simple picture of these twosystems in terms of an EMAM. The presence of an EMAM in these systems might betested through the observation of the decay modes of a charged, spin zerounstable particle inside one of these systems.
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