Differential Geometric Methods in Mathematical Physics

ISBN-13: 9781402003417 / Angielski / Miękka / 2001 / 296 str.

S. Sternberg; S. Sternberg

Opis

The following pages represent the Proceedings of the XI Annual Conference on Differential Geometric Methods in Mathematical Physics which was held in Jerusalem from August 5 through 11, 1982 under the auspices of the Tel Aviv University and the Israel Academy of Sciences and Humanities. In addition to the above mentioned institutions, partial financial support was received form the Bank Leumi Lelsrael Fund for International Conferences, the American Friends of the Tel Aviv Institute of Mathematical Sciences and the Mathematics and Physics Branch of the United States Army Research, Development and Standardization Group (UK). We are grateful to all of these organizations for their financial support. GAUGE THEORY AND NUCLEAR STRUCTURE K. Bleuler Institut fur Theoretische Kernphysik der Universitat Bonn NuBallee 14-16, D-5300 Bonn, West-Germany I. INTRODUCTION The recent, most impressive verification of the Salam -Weinberg theory of electro-weak interactions through the experimental discovery of the so-called inter mediate bosons represents, at the same time, a success of the general gauge theoretical viewpoints in modern particle physics (quantum chromodynamics, 0CD). This theory leads to a deeper and by far more natural inter pretation of particle interaction and induces, as we shall see, also a profound change in our understanding of nuclear structure.

Spis treści

Gauge Theory and Nuclear Structure.- Théories des Jauges Graduées.- The Continuity of Computing Connections from Curvatures, and of Dividing Smooth Functions.- Gauge Theories on Homogeneous Manifolds.- Gauge Independent Symmetries & Wavefunctions for Systems of Identical Particles.- Superspaces and Supermanifolds.- A Lagrangian for SU(2/1) Quantum Asthenodynamics.- Casimir Elements of Lie Superalgebras.- Normal Form for Hamiltonian Vectorfields with Periodic Flow.- Magnetic Solution of Yang-Mills Equations and the Motion of Classical Particle.- A Normal Form for the Moment Map.- Plasma Kinetic Theory and Differential Geometry.- Noether’s Theorem for Harmonic Maps.- Wave Functions and Transverse Measures.- On Quantization of Systems with Constraints.- Geometric Quantization in the Spirit of Gupta and Bleuler.- On Deformation of Differentials of Immersions.- Lie Algebras of Symmetries of Partial Differential Equations.- A Lie Algebraic Approach to Order Parameters.