Symmetries in Science X

The international Symposium "Symmetries in Science X" was held at the Col legium Mehrerau in Bregenz, Austria, during the period July 13-18, 1997. Some 40 invited scientists from 13 countries participated in the meeting. The Symposium was sponsored by the Technische Universitat Graz, the Land Vorarlberg, Austria, and the Landeshauptstadt Bregenz, Vorarlberg, Austria. I wish to thank Dr. Hubert Regner of the Amt der Vorarlberger Landesregierung, tlw Biirgermeister and Landtagsprasident Dipl. -Vw. Siegfried Gasser for financial assistence for the meeting, and Frater Albin Printschler of the Cloister Mehrerau for his continued support of the Symposium series. Bruno Gruber y CONTENTS Quantization on a Lie Group: Higher-Order Polarizations 1 V. Aldaya, J. Guerrero, and G. Marmo A Comparison between Algebraic Models of Molecular Spectroscopy 37 R. Bijker, A. Frank, R. Lemus, J. M. Arias, and F. Perez-Bernal On Disc:rete Media, Their Interaction Forms and the Origin of Non-Exactness of the Virtual Work . . . . . . . . . . . . . . . . . . . . . 47 E. Binz The k-Fermions and Objects Interpolating between Fermions and Bosons 63 M. Daoud, Y. Hassouni, and M. Kibler Polynomial Realization of the Uq(sl(3)) Gel'fand-(Weyl)-Zetlin Basis and Irregular Irreps at Roots of Unity . . . . . . . . . . . . . . 79 V. K. Dobrev and R. Truini Nonstandard Deformation U~(son): The Imbedding U~(son) C Uq(sln) and Representations . . . . . . . . . . . . . . . . . . . . . . 121 A. M. Gavrilik, N. Z. Iorgov, and A. U. Klimyk Algebraic: Methods in Physics 135 F. Iaehello Possible Origins of Quantum Fluctuations 145 M. Kanenaga and M.

Inhalt
Quantization on a Lie Group: Higher-Order Polarizations.- A Comparison between Algebraic Models of Molecular Spectroscopy.- On Discrete Media, Their Interaction Forms and the Origin of Non-Exactness of the Virtual Work.- The k-Fermions and Objects Interpolating between Fermions and Bosons.- Polynomial Realization of the Uq(sl(3)) Gel'fand-(Weyl)-Zetlin Basis and Irregular Irreps at Roots of Unity.- Nonstandard Deformation U?q(son): The Imbedding U?q(son) ? Uq(sln) and Representations.- Algebraic Methods in Physics.- Possible Origins of Quantum Fluctuations.- Physical Equivalence Based on Observations and Equivalence in Terms of Free Ultra-Filters in Quantum Mechanics of Non-Standard Space.- Discrete and Continous Symmetry via Induction and Duality.- Induced Representations of the Poincaré Group on the Lattice: Spin 1/2 and 1 Case.- Nonlinear Quantum Mechanics and Locality.- Tomography of Spin States and Classical Formulation of Quantum Mechanics.- From Equations of Motion to Canonical Commutation Relations: Classical and Quantum Systems.- Topological Quantum Numbers of m-Particle Systems.- Variational Analysis of an Exactly Soluble Relativistic Oscillator.- Time Development of a Wave Packet in Potential Scattering.- Time Symmetry and Quantum Dephasing.- A Novel Method to Quantize Systems of Damped Motion and Its Application to Nelson's Quantum Mechanics.- Temporal Behavior of Quantum Systems and Quantum Zeno Effect.- On the Canonical Treatment of Dissipative Systems with Broken Time-Reversal Symmetry.- Quantum Mechanics on the Pointed Plane.- Quantum Algebra UQ(3): Recent Results.- Symmetries of 3n-j Coefficients and Generalized Hypergeometric Functions.- Pairing and Deformed Pairing Interaction for System of Protons and Neutrons.- Doubly Periodic Motion inSuperdeformed States and ?I = 2 Staggering.- Angular Momentum- and Particle Number-Projections from Cranking HFB Self-Consistent Solution.- q-Quantum Mechanics on Tn.- List of Participants.- Contributors.