Differential Geometric Methods in Mathematical Physics: Clausthal 1980 Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, July 23 – 25, 1980

✍ Scribed by I. E. Segal (auth.), Heinz-Dietrich Doebner, Stig I. Andersson, Herbert Rainer Petry (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1982
• Tongue: English
• Leaves: 318
• Series: Lecture Notes in Mathematics 905
• Edition: 1
• Category: Library

✦ Table of Contents

Introduction....Pages 2-2
Massless limits and dual field theories....Pages 3-11
Poisson commutativity and the generalized periodic toda lattice....Pages 12-28
Spaces of solutions of relativistic field theories with constraints....Pages 29-43
The symplectic “category”....Pages 45-51
Moments and reductions....Pages 52-65
Elementary systems for lie algebra bundle actions....Pages 66-89
What kind of a dynamical system is the radiating electron?....Pages 90-98
Asymptotics of elementary spherical functions....Pages 100-107
Hermitian structures on solution varieties of nonlinear relativistic wave equations....Pages 108-118
Vector bundle connections and liftings of partial differential operators....Pages 119-132
Phase space of the coupled vectorial Klein-Gordon-Maxwell equations....Pages 133-149
Particle theory and global geometry....Pages 151-164
Group theoretical aspects of the chronometric theory....Pages 165-169
Spinor structures....Pages 170-185
The complex cayley algebra and the Lorentz group....Pages 186-195
Prequantisation from path integral viewpoint....Pages 197-206
A geometrical property of POV-measures and systems of covariance....Pages 207-228
Path integrals over manifolds....Pages 229-239
Gauge-theory ghosts and ghost-gauge theories....Pages 241-259
On monopole systems with weak axial symmetry....Pages 260-271
Quantum fields in curved space-times and scattering theory....Pages 272-295
The quantized maxwell field and its gauges; A generalization of wightman theory....Pages 296-309

✦ Subjects

Differential Geometry;Mathematical Methods in Physics;Numerical and Computational Physics