Symmetries in Physics

1 Group Theory and the Harmonic Oscillator: The Work of Marcos Moshinsky.- 1.1 Introduction.- 1.2 Schematic theory of nuclear reactions.- 1.3 The Moshinsky brackets.- 1.4 Marcos' harmonic oscillator.- 1.5 Group theory and nuclear structure.- 1.6 Classical canonical transformations and their unitary representation.- 1.7 Rendering accidental degenerancy non-accidental.- 1.8 Collective models.- 1.9 Structure of matter in strong magnetic fields.- 1.10 Relativistic oscillators.- Electronic and Molecular Physics.- 2 Generalizing the BCS Universal Constants to High-Temperature Superconductivity.- 3 Fermion Clustering in an Exactly- Soluble N-Fermion Model for Hadronic, Nuclear, and Superconductivity Physics.- 4 The Scattering Approach to Quantum Electronic Transport.- 5 Symmetry-Avoided Crossings and their Role in the Catalytic Activity of Transition Metals.- Nuclear Physics.- 6 The Symplectic Model and Potential-Energy Surfaces.- 7 The SU(3) Generalization of Racah's SU(2j + 1) ? SU (2) Group-Subgroup Embedding.- 8 Scaling and Universality in the Shock Compression of Condensed Matter.- 9 Deriving Nuclei from Quarks.- 10 Binding Energies of Nuclei and Atoms.- Particles and Relativity.- 11 The Relativistic Oscillator and Mass Formulas.- 12 Relativistic Equations in External Fields.- 13 A Parallelism Between Quantum Gravity and the IR Limit in QCD (Emergence of Hadron and Nuclear Symmetries).- 14 On Rainich-Misner-Wheeler Conditions in Nonlinear Electrodynamics.- 15 Hamiltonian Formulation of a Simple Covariant Harmonic Oscillator for Bosons and Fermions.- Symmetry and Decay.- 16 Doorway States in Classical Physics.- 17 Resonant States and the Decay Process.- 18 The Decay Process: An Exactly Soluble Example and its Implications.- 19 Moshinsky Functions, Resonances andTunneling.- Phase Space Dynamics.- 20 Nonstationary Oscillator in Quantum Mechanics.- 21 Symmetry and Dynamical Lie Algebras in Classical and Quantum Mechanics.- 22 Canonical Transformations in Mechanics vis-à-vis Those in Optics.- Round Table.- 23 Science and Technology in Latin America.- Author index.