The Symposium "Symmetries in Science III" was held at Schloss Hofen, Vorarl berg, Austria, during the period July 25-28, 1988. Some 70 invited scientists from 24 countries attended the Symposium and presented reviews, research papers and re ports, as well as participated in workshops. The format of the Symposium was delib erately kept international and interdisciplinary, and also provided an opportunity for presentations of symmetry applications in fields other than in the conventional disci plines. The Symposium was co-sponsored by Southern Illinois University at Carbondale Land Vorarlberg,…mehr
The Symposium "Symmetries in Science III" was held at Schloss Hofen, Vorarl berg, Austria, during the period July 25-28, 1988. Some 70 invited scientists from 24 countries attended the Symposium and presented reviews, research papers and re ports, as well as participated in workshops. The format of the Symposium was delib erately kept international and interdisciplinary, and also provided an opportunity for presentations of symmetry applications in fields other than in the conventional disci plines. The Symposium was co-sponsored by Southern Illinois University at Carbondale Land Vorarlberg, U.S. Office of Naval Research (Special Session), and IBM Austria. Support by these institutions is gratefully acknowledged. Several individuals have contributed significantly to the success of Sym- sium III. They are Dr. John C. Guyon, President, Southern Illinois University, at Carbondale, Dr. Martin Purtscher, Landeshauptman des Landes Vorarlberg, Dr. Guntram Lins, Landesrat des Landes Vorarlberg, and Dr. Hubert Regner, Direktor, Landesbildungszentrum Schloss Hofen. I wish to thank these individuals for their support of Symposium III, also in the name of the participating scientists. The Symposium provided these scientists with an opportunity to get together and exchange scientific information in an efficient manner, and in a very pleasant environment.
I: Reviews.- Fundamental Symmetries and Quantum Electrodynamics.- Recent Progress in Implementing the Tensor Operator Calculus.- On a Global Differential Geometric Approach to the Rational Mechanics of Deformable Media.- Berry's Connection, The Charge-Monopole System and the Group Theory of the Diatomic Molecule.- Symmetry Models in Solid State Chemistry.- Spontaneous Symmetry Breaking in Unified Theories with Gauge Group SO(10).- Symmetries and Statistical Models.- Infinitely Generated Supermanifolds, Super Lie Groups and Homogeneous Supermanifolds.- Lie Algebras and Recurrence Relations II.- Diffeomorphism Groups and Local Symmetries: Some Applications in Quantum Physics.- Quasi-Particle Groups in Atomic Shell Theory.- Properties of Orthogonal Operators.- Group Theory for Non-Periodic Long-Range Order in Solids.- Symmetries in the Lagrangian and Hamiltonian Formalism: The Equivariant Inverse Problem.- Accidental Degeneracy and Structure of Matter in Strong Magnetic Fields.- Galilean Symmetry.- Symmetry in Dynamic Economic Models.- Harmonic Oscillator Representation in the Theory of Scattering and Reactions.- Representations of Lie Groups and Integral Transforms.- II: Special Session (Sponsor: U.S. Office of Naval Research, London).- Self-Organization and Symmetry Breaking in Living Matter.- On Kida Class of Vortex Filament Motions.- Dynamical Symmetry of the Kaluza-Klein Monopole.- Nonlinear Optics in Quantum Confined Semiconductors.- Symmetry and Scale: From Local to Global Symmetries.- The Mapping Class Group in Statistical Mechanics: A Concise Review.- Algebraic Properties and Symmetries of Integrable Evolution Equations.- Energy of Skyrmionic Configurations.- Remarks about the Dynamics of the Solitary Waves.- Method of Studying Integrals of Dynamical Systems Based on Frobenius' Integrability Theorem.- III: Research Papers and Reports.- Form Factors of Massive Neutrinos in Extended SU(2)L × U(1) Models.- Incompatible Observables and the Measurement of Berry's Phases.- Hidden Symmetries of a Self-Dual Monopole.- On the Importance of the Weyl Group for Kac-Moody and String Algebras.- On Representations of the Symplectic Group.- Tensor Product of Finite and Infinite Representations in Physics.- String and Superstring Spectra.- The Shift Operators and the Wave Functions in Ginocchio Model.- Highest Weight Representations of the Lie Algebra gl? in Gel'fand-Zetlin Basis.- Computerized Symmetrization of Quantum States.- Note on the Experimental Evidence for Quantum Mechanical Coherence in Red Blood Cells.- The Analysis of Unitary Irreducible Representations of the U(p, 1) Algebra by Means of the Projection Operator Method.- Calculating Properties of Lie Groups.- On Commutativity of Prime Rings with (?,?)-Derivations.
I: Reviews.- Fundamental Symmetries and Quantum Electrodynamics.- Recent Progress in Implementing the Tensor Operator Calculus.- On a Global Differential Geometric Approach to the Rational Mechanics of Deformable Media.- Berry's Connection, The Charge-Monopole System and the Group Theory of the Diatomic Molecule.- Symmetry Models in Solid State Chemistry.- Spontaneous Symmetry Breaking in Unified Theories with Gauge Group SO(10).- Symmetries and Statistical Models.- Infinitely Generated Supermanifolds, Super Lie Groups and Homogeneous Supermanifolds.- Lie Algebras and Recurrence Relations II.- Diffeomorphism Groups and Local Symmetries: Some Applications in Quantum Physics.- Quasi-Particle Groups in Atomic Shell Theory.- Properties of Orthogonal Operators.- Group Theory for Non-Periodic Long-Range Order in Solids.- Symmetries in the Lagrangian and Hamiltonian Formalism: The Equivariant Inverse Problem.- Accidental Degeneracy and Structure of Matter in Strong Magnetic Fields.- Galilean Symmetry.- Symmetry in Dynamic Economic Models.- Harmonic Oscillator Representation in the Theory of Scattering and Reactions.- Representations of Lie Groups and Integral Transforms.- II: Special Session (Sponsor: U.S. Office of Naval Research, London).- Self-Organization and Symmetry Breaking in Living Matter.- On Kida Class of Vortex Filament Motions.- Dynamical Symmetry of the Kaluza-Klein Monopole.- Nonlinear Optics in Quantum Confined Semiconductors.- Symmetry and Scale: From Local to Global Symmetries.- The Mapping Class Group in Statistical Mechanics: A Concise Review.- Algebraic Properties and Symmetries of Integrable Evolution Equations.- Energy of Skyrmionic Configurations.- Remarks about the Dynamics of the Solitary Waves.- Method of Studying Integrals of Dynamical Systems Based on Frobenius' Integrability Theorem.- III: Research Papers and Reports.- Form Factors of Massive Neutrinos in Extended SU(2)L × U(1) Models.- Incompatible Observables and the Measurement of Berry's Phases.- Hidden Symmetries of a Self-Dual Monopole.- On the Importance of the Weyl Group for Kac-Moody and String Algebras.- On Representations of the Symplectic Group.- Tensor Product of Finite and Infinite Representations in Physics.- String and Superstring Spectra.- The Shift Operators and the Wave Functions in Ginocchio Model.- Highest Weight Representations of the Lie Algebra gl? in Gel'fand-Zetlin Basis.- Computerized Symmetrization of Quantum States.- Note on the Experimental Evidence for Quantum Mechanical Coherence in Red Blood Cells.- The Analysis of Unitary Irreducible Representations of the U(p, 1) Algebra by Means of the Projection Operator Method.- Calculating Properties of Lie Groups.- On Commutativity of Prime Rings with (?,?)-Derivations.
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