We examine the properties and behavior of the original Einstein-Podols
ky-Rosen (EPR) wave function [Phys. Rev. 47, 777 (1935)] and related G
aussian-correlated wave functions. We assess the degree of entanglemen
t of these wave functions and consider an argument of Bell [Ann.(N.Y.)
Acad. Sci. 480, 263(1986)] based on the Wigner phase-space distributi
on [Phys. Rev. 40, 749 (1932)], which implies that the original EPR co
rrelations can accommodate a local hidden-variable description. We ext
end Bell's analysis to the related Gaussian wave functions. We then sh
ow that it is possible to identify definite nonlocal aspects for the o
riginal EPR state and related states. We describe possible experiments
that would demonstrate these nonlocal features through violations of
Bell inequalities. The implications of our results, and in particular
their relevance for the causal interpretation of quantum mechanics, ar
e considered. [S1050-2947(97)04611-8].