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The second volume of Condensed Matter Theories contains the proceedings of the 10th International Workshop held at Argonne National Laboratory, Argonne, IL, U.S.A. during the week of July 21, 1986. The workshop was attended by high-energy, nuclear and condensed-matter physicists as well as materials scientists. This diverse blend of participants was in keeping with the flavor of the previous workshops. This annual series of international workshops was"started in 1977 in Sao Paulo, Brazil. Subsequent'workshops were held in Trieste (Italy), Buenos Aires (Argentina), Caracas (Venezuela), Altenberg (West Germany), Granada (Spain), and San Francisco (U.S.A.). What began as a meeting of the physicists from the Western Hemisphere has expanded in the last three years into an international conference of scientists with diverse interests and backgrounds. This diversity has promoted a healthy exchange of ideas from different branches of physics and also fruitful interactions among the participants. The present volume is a continuation of the effort started last year when the invited papers from the 9th International Workshop were published by Plenum Press. Our only trepidation in organizing a book of this kind stemmed from the diversity of the material, which did not lend itself easily to well-defined topics. Still, the articles are loosely divided into eight categories, where the papers in each category have either a common theme or the same underlying technique.

Formal Methods: A Reaction Theory and the Relation Between Widths and Energy Shifts; F.B. Malik. The Control of Chaos; B.A. Huberman. Classical and Quantum Fluids: Compressible RayleighBenard Convection in a Hard Disks System; D. Risso, P. Cordero. Positron Annihilation as a Probe of Localized States in Fluids; B.N. Miller. Electronic Systems, Atoms, and Molecules: Lower Bound Aspects of Fermion Density Functionals; J.K. Percus. Selfconsistent Semiclassical Mean Field; M. Casas, et al. High Tc Superconductivity: Search of Superconductivity in Metal Clusters; M. Barranco, et al. Stochastic Processes: Reactant Segregation; H.S. Wio, et al. Nuclear and Particle Physics: A Direct Approach to the Tamm-Dancoff Approximation; R.C. Bochicchio, H. Grinberg. Overview Talk: Some Considerations on the Greenhouse Effect and Related Problems; V.M. Canuto. 30 additional articles. Index.

Solid-State Physics, Superconductivity: Electronic Structure of Highly Correlated Systems; L.M. Falicov, J.K. Freericks. Quantum Fluids: Unusual One-Electron States on the Surface of Liquid Helium; E. Baskin. Nuclear Physics: Nucleonic Superfluid; J.W. Clark, et al. Atoms and Molecules: Fock-Space Coupled Cluster Method; S.R. Hughes, U. Kaldor. Classical Fluids, Polymers, Plasmas: Fluids of Hard Convex Molecules; M.S. Wertheim. Lattice Theories, Phase Transitions: Line Tension at Wetting and Prewetting Transitions; B. Widom. Cellular Automata: Cellular Automata and Spread of Damage; C. Tsallis. Fundamental Quantum Mechanics: Hannay Angle in Classical Mechanics and its Gauge-Invariant Generalization; D. Kobe. 51 additional articles. Index.

I. Formal Methods.- Artificial Neural Networks that Learn Many-Body Physics.- Quantum Statistical Microdynamics and Critical Phenomena.- Quantum Spin Lattice Models: a Coupled-Cluster Treatment.- Time Dependent Mean Field Approximation in a Boson System.- Inhomogeneous Boson System Made Planar.- II. Quantum Fluids.- The Shape of Fluids.- Single Particle Properties of Atomic Deuterium.- Studies of the Critical Point of 4He.- The Spectral Function of Bose Superfluids: a Sum Rule Approach.- III. Electronic Systems, Atoms and Molecules.- Collective Spin Waves in Maxwellian Electron Plasma.- Test of Density Functional Approximation for an Atom in a Strong Magnetic Field.- Ionic Diffusion Phenomena in Superionic Conductors.- Electric Field Induced Solidification-Theory of Electro-Rheology Fluids.- Toward a Non-Born-Oppenheimer Density Functional Theory in the Context of Local-Scaling Transformations.- Bragg Intensities and Diffuse Scattering in Ag2Se: a Molecular Dynamics Study.- IV. High-Tc Superconductivity.- Dynamics of the Anderson Model for Dilute Magnetic Alloys: a Quantum Monte Carlo and Maximum Entropy Study.- High Temperature Superconductivity in an Exactly Solvable Model.- Cooper Pair Binding Energy and the BCS Gap Energy Revisited.- Coopers Pairs, Local Pairs, and TF-Scaled High-Tc Superconductivity.- Electron-Hole Liquid Model for High Tc-Superconductivity.- MEP Approach to the Anderson-Hubbard Model.- V. Lattice Theories.- Correlated Lattice Fermions in High Dimensions.- Cluster Gutzwiller Approximation.- The U(1)3 Lattice Gauge Vacuum.- Electronic Diamagnetism in Two-Dimensional Lattices.- Nuclear Physics and QCD.- Meson-Meson Scattering as a Many-Body Problem.- Alpha-Nucleus Interaction from an Inverse Scattering and Energy-Density Formalism.- Spin and Tensor Correlations in Model Nuclear Matter.- On Narrow ? Hypernuclear States with Positive Energy.- Electromagnetic Response in Nuclear Matter and Complex Nuclei.- Use of Correlated Hyperspherical Harmonic Basis for Strongly Interacting Systems.- Variational Cluster Methods in Coordinate Space for Small Systems: Center of Mass Corrections Made Easy.- Short-Range Correlations and Single-Particle Spectral Functions in Nuclear Matter.- Functional Techniques in the Many-Body Problem: the Longitudinal Nuclear Response function.- Contributors and Participants.