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Preface | p. vii |
Foreword | p. ix |
Character Expansions in Physics | p. 1 |
Fidelity Decay of the Two-Level Bosonic Embedded Ensembles of Random Matrices | p. 6 |
Extended Spin Symmetry and the Standard Model | p. 16 |
Algebraic Cluster Model with Tetrahedral Symmetry | p. 28 |
Symmetry Adapted States and the Quantum Phase Transition in the Dicke Model | p. 40 |
Umbral Orthogonal Polynomials | p. 52 |
Building and Destroying Symmetry in 1-D Elastic System | p. 62 |
Scale Invariance as a Symmetry in Physical and Biological Systems: Listening to Photons, Bubbles and Heartbeats | p. 74 |
Doorway States and Billiards | p. 91 |
Diffraction in Time in Tunneling Phenomena | p. 98 |
New Dimensions of the Periodic System: Superheavy, Superneutronic, Superstrange, Antimatter Nuclei | p. 109 |
The Linear Canonical Transform as a Propagation Model in Digital Holography | p. 119 |
Solvable Models and Hidden Symmetries in QCD | p. 129 |
Seniority in Quantum Many-Body Systems | p. 141 |
Quantum Vacuum Energy in Graphs and Billiards | p. 153 |
Multipole Analysis in Cosmic Topology | p. 164 |
Two Interacting Electrons in a Magnetic Field: Comparison of Semiclassical, Quantum, and Variational Solutions | p. 178 |
Symmetry Projection of the Rovibrational Functions of Methane | p. 191 |
Integrability Test for Discrete Equations | p. 203 |
Canonical Transforms, Quantumness and Probability Representation of Quantum Mechanics | p. 215 |
Statistical Scattering of Waves in Disordered Waveguides: An Overview of Past and Present Results | p. 221 |
The Harmonic Oscillator and the Position Dependent Mass Schrödinger Equation: Isospectral Partners and Factorization Operators | p. 233 |
Symmetries of the Periodic System | p. 244 |
Spontaneous Symmetry Breaking by Double Lithium Adsorption in Polyacenes | p. 257 |
Coupling Constant Metamorphosis, the Stäckel Transform and Superintegrability | p. 265 |
Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator | p. 275 |
Conformal Mapping and Bound States in Bent Waveguides | p. 283 |
Third Quantization | p. 296 |
The Dirac-Moshinsky Oscillator Coupled to an External Field and Its Connection to Quantum Optics | p. 301 |
The Harmonic Oscillator behind All Aberrations | p. 313 |
Ambiguous Red Shifts | p. 323 |
Symmetry Breaking: A Tool to Unveil the Topology of Chaotic Scattering with Three Degrees of Freedom | p. 330 |
Author Index | p. 343 |
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