2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80411We study the statistical properties of wavefunctions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wavefunctions cross over from real to complex. Each wavefunction is characterized by a phase rigidity, which is itself a fluctuating quantity. We calculate the probability distribution of the phase rigidity and discuss how phase rigidity fluctuations cause long-range correlations of intensity and current density. We also find that phase rigidities for wavefunctions with different incoming wave boundary conditions are statistically correlated.4 pages, RevTeX; 1 figureChaotic DynamicsMesoscale and Nanoscale Physicstext