Research report 2011 - Max Planck Institute for Mathematics

Deformation quantization and the formula of Kontsevich

Authors
Rossi, Carlo Antonio
Departments
Max-Planck-Institut für Mathematik, Bonn
Summary
After a brief comparison between the commutative algebra of classical observables in Hamiltonian mechanics and non-commutative quantum observables in quantum mechanics, an algebraic way of realizing the quantization process (deformation quantization) is introduced and in particular the universal formula of Kontsevich is explained in some details. Finally, some (open) problems related to deformation quantization are considered, some of which have been positively addressed at the Max Planck Institute for Mathematics in Bonn.

For the full text, see the German version.

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