Solving the Schroedinger equation for the Sherrington-Kirkpatrick model in a transverse field

By numerically solving the Schr\"oedinger equation for small sizes we investigate the quantum critical point of the infinite-range Ising spin glass in a transverse field at zero temperature. Despite its simplicity the method yields accurate information on the value of the critical field and critical exponents. We obtain $\Gamma_c=1.47\pm 0.01$ and check that exponents are in agreement with analytical approaches.