Non-Commutative Geometry, Multiscalars, and the Symbol Map

Abstract

Starting from the concept of the universal exterior algebra in non-commutative differential geometry we construct differential forms on the quantum phase-space of an arbitrary system. They bear the same natural relationship to quantum dynamics which ordinary tensor fields have with respect to classical hamiltonian dynamics.

8 pages, latex

References in corpus (1)

• Quantum Deformed Canonical Transformations, W_{\infty}-algebras and Unitary Transformations

Cited by in corpus (1)

• On the Deformation Quantization Description of Matrix Compactifications