  Quantum carpets- in position and momentum space- woven by the
self-interference of de Broglie wave of an atom or an electron, trapped in an
infinitely deep potential well, are explained. The recurrence of self-similar
structures in designs of these carpets mimics the phenomena of quantum revivals
and fractional revivals. We identify fractional revivals of various order by
means of these space-time and momentum-time interference patterns.
