The Bose-Einstein condensation in random box

The Bose-Einstein condensation in the presence of quenched disorder due to random boundary conditions is considered. We have shown that for bosons con fined in a box with volume L-d and for random L the Bose condensation tempe rature is lowered by the presence of disorder and the onset of condensation may even be completely prohibited. Similar results hold for bosons confine d in a harmonic oscillator potential well, the geometry used in recent expe riments on Bose-Einstein condensation in atomic traps. Comments on possible consequences of quenched disorder in boundary conditions for many fermion systems are also given. (C) 2000 Elsevier Science B.V. All rights reserved.