XXV Workshop on Geometric Methods in Physics 2-8.07.2006

KALYAN SINHA


QUANTUM MECHANICAL STRUCTURES AND NON-COMMUTATIVE GEOMETRY


Two examples from Quantum Mechanics are studied to elucidate two different aspects of Non-Commutative Geometry . In the first ,the Weyl C-* algebra, we study the Weyl Asymptotics to obtain the volume form. In the second , the Quantum Heisenberg manifold, the de-Rham- Connes forms and the K-theory are studied.