The Wigner-Weyl-Moyal approach to Quantum Mechanics is recalled, and simila
rities to classical probability theory emphasised. The Wigner distribution
function is generalised and viewed as a construction of a bosonic object, a
target space co-ordinate, for example, in terms of a bilinear convolution
of two fermionic objects, e.g. a quark antiquark pair. This construction is
essentially non-local, generalising the idea of a local current. Such Wign
er functions are shown to solve a BPS generalised Moyal-Nahm equation. (C)
1999 Elsevier Science Ltd. All rights reserved.