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Preface | |
The Interacting Fock Space of Haldane's Exclusion Statistics | p. 1 |
Complex Hamiltonians Having Real Spectra | p. 11 |
From Resonances to Poincare Semigroups | p. 20 |
Quantum Field Theory as Dynamical System | p. 43 |
Beta-Lattices for Aperiodic Order | p. 55 |
Generalized Symmetries and Time | p. 66 |
Integrable Hierarchies and the WDVV-equations | p. 74 |
Global Gauss Law for Lattice QCD | p. 96 |
Quantum Entanglement and Symmetries | p. 106 |
From Noncommutative Space-time to Quantum Relativistic Symmetries with Fundamental Mass Parameter | p. 117 |
Tomographic Map within the Framework of Star-product Quantization | p. 126 |
Algorithmic Cooling and Scalable Quantum Computers: Ways to Improve the Space-time Requirements of the Algorithm | p. 134 |
Quantum Theory on the Torus with Magnetic Field | p. 144 |
Nonlocal Reflection by Photonic Barriers | p. 160 |
Lightfront Formalism versus Holography&Chiral Scanning | p. 165 |
Broken Symmetries | p. 183 |
Gauge Theories on Non-commutative Spaces | p. 187 |
Algebra of Differential Forms with Exterior Differential d[superscript 3] = 0 in Dimension One | p. 198 |
Quantum Probability and the Non-locality Issue in Quantum Theory | p. 206 |
On the Electromagnetic Reciprocity-like Theorems | p. 212 |
Interwining Operators for Schrodinger Algebras and Hierarchy of Invariant Equations | p. 222 |
Symmetries and Reduced Systems of Bethe Equations | p. 228 |
Construction of Wavelets Basis for the Fibonacci Chain via the Spline Functions of Various Orders | p. 235 |
Algebraic Model of Molecular Thermodynamics | p. 243 |
Induced Representations of Bicrossproduct Algebras | p. 249 |
Contractions of the Finite Oscillator | p. 255 |
Separation of Discrete Variables in the 2-dim Finite Oscillator | p. 261 |
A Glimpse at Mathematical Diffraction Theory | p. 267 |
Exactly Solvable Hamiltonians Connected with su[subscript q](2) and Quantum Optical Models | p. 273 |
Dynamical Coalgebra Symmetry and Integrability | p. 279 |
[pi][rho][omega] Vertex in Nuclear Matter | p. 285 |
Unusual Eigenvalue Problems | p. 291 |
Electroweak Interaction, Fermions and Vector Bosons from Gauge and Space-time Symmetry Unification | p. 305 |
In Search of Alternatives of Higgs Fields | p. 311 |
q-Plane Wave Solutions of q-Maxwell Equations | p. 318 |
Symmetries and Wavelets | p. 324 |
On Interpretations and Constructions of Classical Dynamical r-matrices | p. 331 |
Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups | p. 337 |
Symmetries in the Universe at Large Scales | p. 343 |
From Geometry to Quantum Computation | p. 348 |
Partition Function Zeros of Aperiodic Ising Models | p. 354 |
Cayley-Klein Contractions of Orthosymplectic Superalgebras | p. 360 |
Distinguished Bases of sl(n,C) and their Symmetries | p. 366 |
Quantum Effects in Matter-Wave Diffraction | p. 371 |
Time-type Quantum Deformation of the Conformal Algebra so(4,2) | p. 377 |
q-Laplace Operator Related to the Quantum Unitary Group | p. 383 |
Contraction and Interbases Expansions on N-sphere | p. 389 |
Quantized Symmetrization and *-Products | p. 396 |
Uniqueness Results by Covariance in Covariant Quantum Mechanics | p. 404 |
Waves and Solitons in Born-Infeld Electrodynamics | p. 412 |
Quasiperiodic Patterns in Faraday Instability and Adapted Beta-Lattice | p. 425 |
On the SU(2) Wigner Function Dynamics | p. 431 |
VI Hilbert's Problem, Infinite Lie Groups and Relativistic Physics | p. 437 |
On the Uncertainty Relations and Squeezed States for a Quantum Particle on a Circle | p. 444 |
Effective Dipole-type Field Approach and the Dual Higgs Model | p. 449 |
CP Violation in B Decays: The Role of Final-state Interactions | p. 456 |
Spinor Algebras and Extended Superconformal Algebras | p. 463 |
Wavelets and Tomograms in Information Processing | p. 473 |
Spectral Triples for the Kronecker Foliation | p. 481 |
Non-commutative Space-time Geometry and Principle of Gauge Invariance | p. 487 |
An Integrable Relativistic Three Body Problem with Spin and an Application | p. 492 |
Representations of SO[subscript 0](p + 1,q) x[subscript s] R[superscript p+q+1] from its Deformations | p. 504 |
Covariance Approach to Quantum Theory | p. 511 |
Super Duffin-Kemmer-Petiau Algebra | p. 517 |
Deformed Jacobson Generators of the Algebra U[subscript q][sl(n+1)] and their Fock Representations | p. 521 |
Coherent States from Combinatorial Sequences | p. 527 |
Generalized Coherent States Associated with the C[subscript [lambda]]-Extended Oscillator | p. 531 |
Asymmetric Double Sinh-Gordon Theory in 1+1 Dimensions | p. 537 |
Quantum Field Theory in Absence of the Positivity Condition | p. 547 |
On the Gauge Orbit Space Stratification | p. 553 |
Group-theoretical Aspects of Control of Quantum Systems | p. 559 |
Can the Breaking of Time-reversal Symmetry Introduce Bifurcations in Quantum Mechanics? | p. 568 |
Looking for a Time Operator | p. 574 |
Quantum and Classical Models Based on GL(n)-symmetry | p. 582 |
q-boson Realization of the Positive Discrete Series of Representations of the U[subscript q](2,1) Quantum Algebra | p. 589 |
Isotropic Quantized Minkowski Space and Poincare Group | p. 595 |
Construction of Raising and Lowering Operators for U[subscript q](sl(2,R)) | p. 601 |
Exactly Solvable Time-dependent Potentials in Quantum Mechanics | p. 607 |
Representations for Selected Types of Diffusion Systems | p. 615 |
Quantum Mechanics at the Planck Scale | p. 621 |
Generalized PT Symmetry | p. 626 |
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