We present a causal Hamiltonian quantum mechanics in 2n-dimensional phase s
pace which is more realistic than de Broglie-Bohm mechanics. The positive d
efinite phase space density reproduces as marginals the correct quantum pro
bability densities of n + 1 different complete commuting sets of observable
s e.g. positions, moments and n - 1 other sets. (C) 1999 Published by Elsev
ier Science B.V, All rights reserved.