Bulg. J. Phys. vol.34 no.3 (2007), pp. 185-203


Classical Phase Space Singularities and Quantization

J. Huebschmann1,2
1Université des Sciences et Technologies de Lille, UFR de Mathématiques, CNRS-UMR 8524, F-59 655 Villeneuve d'Ascq, Cédex, France
2Institute for Theoretical Physics, Universität Leipzig, D-04103 Leipzig, Germany
Abstract. Simple classical mechanical systems and solution spaces of classical field theories involve singularities. In certain situations these singularities may be understood in terms of the notion of stratified Kähler space. We give an overview of a research program whose aim is to develop a holomorphic quantization procedure on stratified Kähler spaces.

Full-text: PDF

go back