Mathematical Problems in Theoretical Physics

Recent developments in quantum scattering theory.- Schrödinger operators with electric or magnetic fields.- A new method for asymptotic completeness.- Pathological spectral properties.- Proff that the H- ion has only one bound state: A review, a new result, and some related unsolved problems.- Number of eigenvalues of many-body Hamiltonians and Efimov's effect.- On the exponential fall off of wavefunctions and electron densities.- Exact results for confining potentials.- The quasi-classical limit of quantum scattering theory.- Semiclassical quantum mechanics for coherent states.- Random schrödinger operators some rigorous results.- On the scattering problem with indefinite metric.- Some open problems about Coulomb systems.- Time dependent phenomena in statistical mechanics.- Holonomic Quantum Fields - The unanticipated link between deformation theory of differential equations and quantum fields -.- Instability of phase coexistence and translation invariance in two dimensions.- Topology and defects in ordered media.- Debye screening in classical statistical mechanics.- Equilibrium properties of classical systems with long-range forces.- On the lack of Fréchet differentiability in more phase regions.- Long time tail for spacially inhomogeneous random walks.- Why is there a solid state?.- Some remarks on the surface tension.- Analytic structure of Green's functions in quantum field theory.- Constructive field theory.- 1/N expansion-some rigorous results.- The renormalization group in the euclidean scalar superrenormalizable field theories.- Expansion and summability methods in constructive field theory.- The physical-region multiparticle S matrix.- Quantized gauge fields: Results and problems.- Clustering, charge-screening and the mass-spectrum in local quantum field theory.- The ultraviolet stability bounds for some lattice ? - models and lattice Higgs-Kibble models.- Mathematical aspects of quantum field theory in curved space-time.- Classical and quantum aspects of the inverse scattering method.- Magnetic monopoles and non-abelian gauge theories.- to papers presented at the gauge theory session.- The unification of physics.- Gauge theories of gravitation.- Supergravity as a gauge theory derived from matter coupling.- Gravitational instantons: A survey.- Instantons and line geometry.- Geometric aspects of symmetry breaking in gauge theories.- Invariance conditions for gauge fields.- Nonlinear group representations and the linearizability of nonlinear equations.- Determinants, Green Functions and induced action.- Spin gauge theory of electric and magnetic spinors.- Spin structures and gauge theory.- Recent results on differentiable dynamical systems.- On some systems motivated by the Lorenz equations: Numerical results.- Properties of continuous maps of the interval to itself.- Remarks on the accumulation of period-doubling bifurcations.- An overview of supersymmetry and supergravity.- Superspace aspects of supersymmetry and supergravity.- Symmetries of supergravity models.- A review of derivations.- Thermal equilibrium and correlation inequalities.- On the possible temperatures of a C -dynamical system.- A review on semigroups of completely positive maps.- Pseudospaces, pseudogroups and pontriagin duality.