  We first summarize our recent observations, through magnetization
measurements in different low-Tc superconductors, of a rather sharp
disappearance of the superconducting fluctuations in the normal state when the
magnetic field approaches Hc2(0), the upper critical field extrapolated to
T=0K. We propose that a crude phenomenological description of the observed
effects may be obtained if the quantum limits associated with the uncertainty
principle are introduced in the Gaussian-Ginzburg-Landau description of the
fluctuation-induced magnetization.
