Mathematical Problems in Theoretical Physics: Proceedings of the International Conference on Mathematical Physics Held in Lausanne, Switzerland August 20 – 25, 1979

✍ Scribed by J. M. Combes (auth.), Konrad Osterwalder (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1980
• Tongue: English
• Leaves: 420
• Series: Lecture Notes in Physics 116
• Edition: 1
• Category: Library

✦ Table of Contents

Recent developments in quantum scattering theory....Pages 1-24
Schrödinger operators with electric or magnetic fields....Pages 25-44
A new method for asymptotic completeness....Pages 45-48
Pathological spectral properties....Pages 49-51
Proff that the H - ion has only one bound state: A review, a new result, and some related unsolved problems....Pages 52-56
Number of eigenvalues of many-body Hamiltonians and Efimov's effect....Pages 57-61
On the exponential fall off of wavefunctions and electron densities....Pages 62-67
Exact results for confining potentials....Pages 68-72
The quasi-classical limit of quantum scattering theory....Pages 73-77
Semiclassical quantum mechanics for coherent states....Pages 78-82
Random schrödinger operators some rigorous results....Pages 83-87
On the scattering problem with indefinite metric....Pages 88-90
Some open problems about Coulomb systems....Pages 91-102
Time dependent phenomena in statistical mechanics....Pages 103-118
Holonomic Quantum Fields — The unanticipated link between deformation theory of differential equations and quantum fields —....Pages 119-142
Instability of phase coexistence and translation invariance in two dimensions....Pages 143-147
Topology and defects in ordered media....Pages 148-150
Debye screening in classical statistical mechanics....Pages 151-155
Equilibrium properties of classical systems with long-range forces....Pages 156-159
On the lack of Fréchet differentiability in more phase regions....Pages 160-161
Long time tail for spacially inhomogeneous random walks....Pages 162-162
Why is there a solid state?....Pages 163-163
Some remarks on the surface tension....Pages 164-165
Analytic structure of Green's functions in quantum field theory....Pages 166-199
Constructive field theory....Pages 200-207
1/N expansion-some rigorous results....Pages 208-210
The renormalization group in the euclidean scalar superrenormalizable field theories....Pages 211-216
Expansion and summability methods in constructive field theory....Pages 217-223
The physical-region multiparticle S matrix....Pages 224-227
Quantized gauge fields: Results and problems....Pages 228-232
Clustering, charge-screening and the mass-spectrum in local quantum field theory....Pages 233-236
The ultraviolet stability bounds for some lattice σ - models and lattice Higgs-Kibble models....Pages 237-240
Mathematical aspects of quantum field theory in curved space-time....Pages 241-243
Classical and quantum aspects of the inverse scattering method....Pages 244-248
Magnetic monopoles and non-abelian gauge theories....Pages 249-262
Introduction to papers presented at the gauge theory session....Pages 263-264
The unification of physics....Pages 265-271
Gauge theories of gravitation....Pages 272-275
Supergravity as a gauge theory derived from matter coupling....Pages 276-281
Gravitational instantons: A survey....Pages 282-287
Instantons and line geometry....Pages 288-290
Geometric aspects of symmetry breaking in gauge theories....Pages 291-295
Invariance conditions for gauge fields....Pages 296-299
Nonlinear group representations and the linearizability of nonlinear equations....Pages 300-302
Determinants, Green Functions and induced action....Pages 303-304
Spin gauge theory of electric and magnetic spinors....Pages 305-307
Spin structures and gauge theory....Pages 308-310
Recent results on differentiable dynamical systems....Pages 311-315
On some systems motivated by the Lorenz equations: Numerical results....Pages 316-330
Properties of continuous maps of the interval to itself....Pages 331-339
Remarks on the accumulation of period-doubling bifurcations....Pages 340-342
An overview of supersymmetry and supergravity....Pages 343-357
Superspace aspects of supersymmetry and supergravity....Pages 358-367
Symmetries of supergravity models....Pages 368-376
A review of derivations....Pages 377-391
Thermal equilibrium and correlation inequalities....Pages 392-396
On the possible temperatures of a C*-dynamical system....Pages 397-399
A review on semigroups of completely positive maps....Pages 400-406
Pseudospaces, pseudogroups and pontriagin duality....Pages 407-412

✦ Subjects

Mathematical and Computational Physics