  Based on his extension of the classical argument of Einstein, Podolsky and
Rosen, Schr\"odinger observed that, in certain quantum states associated with
pairs of particles that can be far away from one another, the result of the
measurement of an observable associated with one particle is perfectly
correlated with the result of the measurement of another observable associated
with the other particle. Combining this with the assumption of locality and
some "no hidden variables" theorems, we showed in a previous paper [11] that
this yields a contradiction. This means that the assumption of locality is
false, and thus provides us with another demonstration of quantum nonlocality
that does not involve Bell's (or any other) inequalities. In [11] we introduced
only "spin-like" observables acting on finite dimensional Hilbert spaces. Here
we will give a similar argument using the variables originally used by
Einstein, Podolsky and Rosen, namely position and momentum.
