Symmetries in Science VII de Bruno Gruber

Symmetries in Science VII: Spectrum-Generating Algebras and Dynamic Symmetries in Physics

Bruno Gruber

Takaharu Otsuka

en Limba Engleză Paperback – 25 oct 2012

The Symposium "Symmetries in Science VII: Spectrum Generating Algebras and Dynamic Symmetries in Physics" was held at the Southern Illinois University at Carbondale in Niigata, Japan Campus, during the period August 28-31, 1992. The Symposium was held in honor of Professor Francesco lachello on the occasion of his 50th birthday. We wish to thank the colleagues and friends of Franco for their participation in the Symposium as well as for contributing articles to this volume honoring him. It was their commitment and involvement which made this Symposium a success. We also wish to thank Dr. Jared H. Dorn, the director of SIUC-N, for his support in the planning and the execution of the Symposium. Moreover we wish to thank Mayor Nobuo Kumakura of Nakajo town and Mr. Kaichi Suzuki of the school entity "The Pacific" for their friendly support. Bruno Gruber, SIUC-N Takaharu Otsuka, University of Tokyo v LAUDATIO ON THE OCCASION OF THE 50TH BIRTHDAY OF PROFESSOR FRANCESCO IACHELLO I first met Franco lachello in 1974. Driving a smart Alfa-Romeo, he came to meet me at the station at Groningen where I was to spend a summer conducting research.

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Cuprins

Introductory Remarks on the Occasion of the Puplic Lecture Given in the Niigata-Illinois Friendship Hall.- Symmetry: The Search for Order in the Universe.- U(15)?SU(6) Description of the SDG Boson Model.- Dynamical Symmetry Breaking and the Onset of Chaos in the Interacting Boson Model of Nuclei.- Generating the Spectrum of Nonlinear Hamiltonians.- Identifying Mixed-Symmetry States in the O(6) Limit of the Proton-Neutron Interacting Boson Model: E0 Decays of Beta-Vibrations.- Dynamical Symmetry and String Theory.- U(7) Spectrum Generating Algebra for Rotations and Vibrations in Triatomic Molecules.- Algebraic Treatment of Collective Excitations in Baryon Spectroscopy.- Can lachello’s Idea of a Spectral Supersymmetry Be Extended into the Relativistic Domain?.- q-Deformed Interacting Boson Models in Nuclear and Molecular Physics.- Low Lying Electric Dipole Excitations and the Interacting Boson Model.- Effective Charges, the Valence p-n Interaction, and the IBM.- Dynamical Symmetries in Superdeformed Nuclei.- Dynamical Algebras and Superalgebras for Interacting Itinerant Many-Electron Systems.- Number and Isospin Dependence of the IBM3 Hamiltonian.- Scattering and Dynamical Symmetry 1.- Vibron Model Description of the Atom-Molecule Collisions.- An Intrinsic State with Definite Isospin for IBM-3.- Quantum Motion and Algebraic Generator Coordinate Method.- Boson and Fermion Operator Realisations of su(4) and Its Semisimple Subalgebras.- The Propagator Method to Solve the Fokker-Planck Equation.- Superdeformation and Interacting Boson Model.- Finite and Infinite Symmetry in (2+1)-Dimensional Field Theory.- Pre-Freezing Phenomenon in Superionic Materials.- Classical Solutions of Schroedinger Equations and Nonstandard Analysis.- Atomic Supersymmetry, Oscillators, and thePenning Trap.- Dynamical Symmetries in the sdg Interacting Boson Model.- Non-Adiabaticity, Chaos and Topological Effects on Nuclear Collective Dynamics.- Microscopic Approach to IBFM Exchange Term by Using Enforced Symmetry Conditions.- Algebraic Approach to Vibrational Excitations in an Anharmonic Linear Chain.- Quadratic Algebras in Quantum Mechanics.- Partial Dynamical Symmetries.- Group O(4) in the Nuclear IBA Model.- Symmetry and Symmetry Breaking Latent in the Uncertainty Principle.- Electron-Molecule Collision Process: Review and Perspective of Algebraic Approaches.- Dynamic Symmetry in Hadron Physics: A Mesonic Puzzle for the U(4) ? SO(4) Chain.- QCD Foundations for Hadron Regge Trajectories and for the Arima-lachello Symmetries of Nuclei.- Boson-Fermion Operators for Description of Young Diagrams and Related Topics.- Hyperinflation and Self-Similarity in Quasiperiodic One-Dimensional Lattices.- Algebraic Models: New Developments in Molecular Spectroscopy.- Microscopic Picture of Interacting Boson Model.- A Pairing Effect in ?-Soft Nuclei.- “Deformed U(GI(3))” from SOq(3).- Mean Field Approach to the Algebraic Trearment of Molecules.- Spectrum Generating q-Algebras for Anyons.- Interacting Boson Model and 3- Nuclear States in Even-Even Nuclei.- Parity Doublet Levels at Superdeformation.- Coefficients of Fractional Parentage of the Boson System with Single I and F-Spin 1/2.- Giant Dipole Resonances in the SU(3) ? SU(2) Limit of the Interacting Boson-Fermion Model.- Coulomb Excitation of Octupole Deformed Rotors.- A Possible Way to Generalize the O-A-I Method to Non-Degenerate j Shells.- Dynamical Symmetry and Chaos in Nuclear Collective Models.- Anisotropicness in Lattice Gauge Theory.