THE PHYSICS OF CONSTRAINTS IN LOW DIMENSIONAL SYSTEMS


D. Schmeltzer Physics Department, City College of the City University of New
York, New York 10031


ABSTRACT                                                                        

The wave function of the new material is characterized by the geometrical
topology such as number of holes and electron-electron interactions.
A possible way to investigate these properties is to formulate a Quantum theory
with CONSTRAINTS. 
A- We report the first solution of Persistent currents for
genus g=2 Aharonov-Bohm coupled rings.
B- Constraints in momentum space gives rise to Non-commuting coordinate in the
momentum space and can are applied to GRAPHENE.
C- Phase space constraints, an application to the exclusion of double
occupancy in High $T{c}$ superconductors Pseudo gap phase.  The exclusion of
double occupancy rise to Phase space constraints which give induces an
effective interaction for holes.