Non-Linear Partial Differential Operators and Quantization Procedures. Proceedings of a Workshop Held at Clausthal in Federal Republic of Germany, 1981,
Stig Andersson, Heinz Dietrich Doebner · Defense Technical Information Center (DTIC) · 1981
Non-linear physical systems and their mathematical structure form one of the most active fields in present mathematics and mathematical physics. This volume covers parts of that topic. It reports on differential geometrical and topological properties of those non-linear systems, which can be viewed physically as models for quantized non-relativistic particles constrained, i.e., localized, on a (smooth) manifold or as a classical or quantized fields with non-linear field equations. The contributions of this volume show how to deal with these different types of non-linearities. There are various physically motivated approaches to both of them. For systems constrained on a manifold generically geometric methods are used with promising mathematical and physical results.