The classical and quantum versions of the kicked rotator with two iden
tical particles are considered. The particle interaction is only throu
gh identification and its configuration space is a Mobius strip. The c
lassical dynamics presents no localization, except for particular init
ial conditions. There is a family of possible quantizations for this s
ystem and we pay special attention to the bosonic and fermionic cases.
It is numerically found that the dynamical localization persists even
though its classical counterpart is never localized. (C) 1998 Elsevie
r Science B.V. All rights reserved.