TY - INPR A1 - Ludu, Andrei A1 - Greiner, Walter T1 - Quasi-continuous symmetries of non-Lie type N2 - We introduce a smooth mapping of some discrete space-time symmetries into quasi-continuous ones. Such transformations are related with q-deformations of the dilations of the Euclidean space and with the non-commutative space. We work out two examples of Hamiltonian invariance under such symmetries. The Schrodinger equation for a free particle is investigated in such a non-commutative plane and a connection with anyonic statistics is found. PACS: 03.65.Fd, 11.30.Er Y1 - 2006 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/2852 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-25510 ER -