  We use the stochastic quantization method to construct a supersymmetric
version of the quantum spherical model. This is based on the equivalence
between the Brownian motion described by a Langevin equation and the
supersymmetric quantum mechanics, which is connected with the existence of the
Nicolai map. We investigate the critical behavior of the supersymmetric model
at finite as well as at zero temperatures, showing that it exhibits both
classical and quantum phase transitions, and determine the critical dimensions.
