Title | Symmetries in Science IX [electronic resource] / edited by Bruno Gruber, Michael Ramek |
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Imprint | Boston, MA : Springer US : Imprint: Springer, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-5921-4 |
Descript | IX, 354 p. online resource |
Classical vs. Quantum Groups as Symmetries of Quantized Systems -- Algebraic Model of an Oblate Top -- The Mass-Squared Operator and the Einstein-Hilbert Action for Rescaled Lorentz Metrics -- Multichannel Dynamic Symmetry -- Kazhdan-Lusztig Polynomials, Subsingular Vectors and Conditionally Invariant (q-Deformed) Equations -- On a Path to Nonlinear Quantum Mechanics -- Quantum Mechanical Problems with q-Deformations and over the p-Adic Number Fields -- A Symmetry Adapted Algebraic Approach to Molecular Spectroscopy -- Dyson Boson-Fermion Realization of Lie (Super)Algebras -- Formal Languages for Quasicrystals -- On Quadratic and Nonquadratic Forms: Application to R2m ? R2mโn Nonbijective Transformations -- Quantization of Systems with Constraints -- Automorphisms and Discrete Fiber Bundles -- Algebraic Approach to Baryon Structure -- Discrete Reflection Groups and Induced Representations of Poincarรฉ Group on the Lattice -- Quantum Mechanics and Classical Probability Theory -- Supermultiplet Formulation of the Dirac Oscillator of Arbitrary Spin -- Construction of Schrรถdinger- and q-Schrรถdinger Invariant Differential Operators -- Automorphisms of Free Groups and Universal Coxeter Groups -- Generalized Quantum Mechanics and Nonlinear Gauge Transformations -- A Solution of an Extended Hartree-Bogoliubov Equation on the Coset Space SO(2N+2)/U(N+1) for Unified Description of Bose and Fermi Type Collective Excitations -- Quantum Space-Time Groups and Beyond -- Quantum Mechanics on the Torus, Klein Bottle and Projective Sphere -- Application of the Supersymmetric Model to Exotic Oxygen Nuclei -- q-Quantum Mechanics on S1 -- List of Participants -- Contributors