  We replace the usual notion of quantum cell from statistical mechanics by
that of "quantum blob". A quantum blob is the transform, by a linaer symplectic
transformation, of a phase space ball with radius equal to the square root of
h-bar. The intersection of a quantum blob with any symplectic plane is an
ellipse with area one half of h. This very special property, which is closed
related to the principle of the symplectic camel, leads to a symplectic
invariant statement of the uncertainty principle. We moreover prove that the
average of a phase space Gaussian over a quantum blob is the Wigner transform
of a minimum uncertainty Gaussian.
