Symmetries in Science X

ISBN-13: 9781489915399 / Angielski / Miękka / 2013 / 454 str.

Bruno Gruber; Michael Ramek

Opis

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.

Spis treści

Quantization on a Lie Group: Higher-Order Polarizations; V. Aldaya, et al. A Comparison Between Algebraic Models of Molecular Spectroscopy; R. Bijker, et al. On Discrete Media, Their Interaction Forms and the Origin of Non-Exactness of the Virtual Work; E. Binz. The k-Fermions and Objects Interpolating Between Fermions Bosons; M. Daoud, et al. Polynomial Realization of the Uq(sl(3)) Gel¿fand-(Weyl)-Zetlin Basis and Irregular Irreps at Roots of Unity; V.K. Dobrev, R. Truini. Nonstandard Deformation U¿q(son): The Imbedding U¿q(son) £sub£ Uq(sln) and Representations; A.M. Gavrilik, et al. Algebraic Methods in Physics;F. Iachello. Possible Origins of Quantum Fluctuations; M. Kanenaga, M. Namiki. Physical Equivalence Based on Observations and Equivalence in Terms of Free Ultra-Filters in Quantum Mechanics of Non-Standard Space; T. Kobayashi. Discrete and Continuous Symmetry Via Induction and Duality; P. Kramer, M. Lorente. Induced Representations of the Poincaré Group on the Lattice: Spin 1/2 and 1 Case; M. Lorente, P. Kramer. Nonlinear Quantum Mechanics and Locality; W. Lücke, P. Nattermann. 16 Additional Articles. Index.