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

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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Dynamical Symmetry Breaking and the Onset of Chaos in the Interacting Boson Model of Nuclei; Y. Alhassid. Generating the Spectrum of Nonlinear Hamiltonians; L.Ya. Baranov, R.D. Levine. Dynamical Symmetry and String Theory; I. Bars. U(7) Spectrum Generating Algebra for Rotations and Vibrations in Triatomic Molecules; R. Bijker, et al. Algebraic Treatment of Collective Excitations in Baryon Spectroscopy; R. Bijker, A. Leviatan. Can Iachello's Idea of a Spectral Supersymmetry be Extended into the Relativistic Domain; A. Bohm, L.C.Biedenharn. Low Lying Electric Dipole Excitations and the Interacting Boson Model; P. von Brentano, et al. Effective Charges, the Valence pn Interaction, and the IBM; R.F. Casten, A. Wolf. Dynamical Symmetries in Superdeformed Nuclei; J.A. Cizewski. Dynamical Algebras and Syperalgebras for Interacting Itinerant Many-Electron Systems; A.Danani, M. Rasetti. Number and Isospin Dependence of the IBM3 Hamiltonian; J.P. Elliott, et al. 43 additional articles. Index.

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Dynamical Symmetry Breaking and the Onset of Chaos in the Interacting Boson Model of Nuclei; Y. Alhassid. Generating the Spectrum of Nonlinear Hamiltonians; L.Ya. Baranov, R.D. Levine. Dynamical Symmetry and String Theory; I. Bars. U(7) Spectrum Generating Algebra for Rotations and Vibrations in Triatomic Molecules; R. Bijker, et al. Algebraic Treatment of Collective Excitations in Baryon Spectroscopy; R. Bijker, A. Leviatan. Can Iachello's Idea of a Spectral Supersymmetry be Extended into the Relativistic Domain; A. Bohm, L.C.Biedenharn. Low Lying Electric Dipole Excitations and the Interacting Boson Model; P. von Brentano, et al. Effective Charges, the Valence pn Interaction, and the IBM; R.F. Casten, A. Wolf. Dynamical Symmetries in Superdeformed Nuclei; J.A. Cizewski. Dynamical Algebras and Syperalgebras for Interacting Itinerant Many-Electron Systems; A.Danani, M. Rasetti. Number and Isospin Dependence of the IBM3 Hamiltonian; J.P. Elliott, et al. 43 additional articles. Index.
Content:
Front Matter....Pages i-xiii
Introductory Remarks on the Occasion of the Public Lecture Given in the Niigata-Illinois Friendship Hall....Pages 1-1
Symmetry:The Search for Order in the Universe....Pages 3-14
U(15)? Su(6) Description of the Sdg Boson Model....Pages 15-22
Dynamical Symmetry Breaking and the Onset of Chaos in the Interacting Boson Model of Nuclei....Pages 23-37
Generating the Spectrum of Nonlinear Hamiltonians....Pages 39-48
Identifying Mixed-Symmetry States in the O(6) Limit of the Proton-Neutron Interacting Boson Model: E0 Decays of Beta-Vibrations....Pages 49-54
Dynamical Symmetry and String Theory....Pages 55-74
U(7) Spectrum Generating Algebra for Rotations and Vibrations in Triatomic Molecules....Pages 75-86
Algebraic Treatment of Collective Excitations in Baryon Spectroscopy....Pages 87-101
Can Iachello’s Idea of a Spectral Supersymmetry Be Extended into the Relativistic Domain?....Pages 103-109
q-Deformed Interacting Boson Models in Nuclear and Molecular Physics....Pages 111-122
Low Lying Electric Dipole Excitations and the Interacting Boson Model....Pages 123-131
Effective Charges, the Valence p-n Interaction, and the IBM....Pages 133-139
Dynamical Supersymmetries in Superdeformed Nuclei....Pages 141-150
Dynamical Algebras and Superalgebras for Interacting Itinerant Many-Electron Systems....Pages 151-177
Number and Isospin Dependence of the IBM3 Hamiltonian....Pages 179-183
Scattering and Dynamical Symmetry....Pages 185-190
Vibron Model Description of Atom-Molecule Collisions....Pages 191-199
An Intrinsic State with Definite Isospin for IBM-3....Pages 201-213
Quantum Motion and Algebraic Generator Coordinate Method....Pages 215-222
Boson and Fermion Operator Realisations of su(4) and Its Semisimple Subalgebras....Pages 223-243
The Propagator Method to Solve the Fokker—Planck Equation....Pages 245-247
Finite and Infinite Symmetry in (2+1)-Dimensional Field Theory....Pages 249-259
Pre-Freezing Phenomenon in Superionic Materials....Pages 261-274
Classical Solutions of Schroedinger Equations and Nonstandard Analysis....Pages 275-285
Atomic Supersymmetry, Oscillators, and the Penning Trap....Pages 287-294
Dynamical Symmetries in the sdg Interacting Boson Model....Pages 295-305
Non-Adiabaticity, Chaos and Topological Effects on Nuclear Collective Dynamics....Pages 307-327
Microscopic Approach to IBMF Exchange Term by using Enforced Symmetry Conditions....Pages 329-343
Algebraic Approach to Vibrational Excitations in an Anharmonic Linear Chain....Pages 345-356
Quadratic Algebras in Quantum Mechanics....Pages 357-371
Partial Dynamical Symmetries....Pages 373-382
Group O(4) in the Nuclear IBA Model....Pages 383-393
Symmetry and Symmetry Breaking Latent in the Uncertainty Principle....Pages 395-405
Electron—Molecule Collision Process: Review and Perspective of Algebraic Approaches....Pages 407-415
Dynamic Symmetry in Hadron Physics: A Mesonic Puzzle for the U(4) ? SO(4)Chain....Pages 417-423
QCD Foundations for Hadron Regge Trajectories and for the Arima-Iachello Symmetries of Nuclei....Pages 425-431
Boson-Fermion Operators for Description of Young Diagrams and Related Topics....Pages 433-443
Hyperinflation and Self-Similarity in Quasiperiodic One-Dimensional Lattices....Pages 445-456
Algebraic Models: New Developments in Molecular Spectroscopy....Pages 457-464
Microscopic Picture of Interacting Boson Model....Pages 465-476
A Pairing Effect in ?—Soft Nuclei....Pages 477-495
“Deformed U(G1(3))” From SOq(3)....Pages 497-509
Mean Field Approach to the Algebraic Treatment of Molecules....Pages 511-521
Spectrum Generating q-Algebras for Anyons....Pages 523-533
Interacting Boson Model and 3- Nuclear States in Even-Even Nuclei....Pages 535-543
Parity Doublet Levels at Superdeformation....Pages 545-554
Coefficients of Fractional Parentage of the Boson System with Single l and F-Spin 1/2....Pages 555-564
Giant Dipole Resonances in the SU(3)?SU(2) Limit of the Interacting Boson-Fermion Model....Pages 565-574
Coulomb Excitation of Octupole Deformed Rotors....Pages 575-585
A Possible Way to Generalize the O-A-I Method to Non-Degenerate j Shells....Pages 587-594
Dynamical Symmetry and Chaos in Nuclear Collective Models....Pages 595-604
Anisotropicness in Lattice Gauge Theory....Pages 605-611
Back Matter....Pages 613-628
....Pages 629-632