Mathematical Problems in Theoretical Physics

Inhaltsverzeichnis

• 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 quantumfield 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.