Fractal Chaos And Fractals - New Frontiers Of Science 2nd

Symmetries in Atomic Nuclei aims to present an overview of recent applications of symmetry to the description of atomic nuclei. Special care is given to a pedagogical introduction of symmetry concepts using simple examples. After a historical overview of the applications of symmetry in nuclear physics, progress in the field during the last decade is reviewed. Special emphasis is put on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei. Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. Case studies show how these symmetries are displayed by real atomic nuclei which have been studied experimentally using state-of-the art spectroscopy. This book focuses on nuclear structure physics and has been written by active investigators in the field, but its scope is wider and is intended for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics. The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L- systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focused computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition. TOC:Introduction: Causality Principle, Deterministic Laws and Chaos *The Backbone of Fractals: Feedback and the Iterator *Classical Fractals and Self-Similarity *Limits and Self-Similarity *Length, Area, and Dimension: Measuring Complexity and Scaling Properties *Encoding Images by Simple Transformations *The Chaos Game: How Randomness Creates Deterministic Shapes * Recursive Structures: Growing Fractals and Plants * Pascal's Triangle: Cellular Automata and Attractors * Irregular Shapes: Randomness in Fractal Constructions * Deterministic Chaos: Sensitivity, Mixing, and Periodic Points * Order and Chaos: Period-Doubling and Its Chaotic Mirror * Strange Attractors: The Locus of Chaos *Julia Sets: Fractal Basin Boundaries *The Mandelbrot Set: Ordering the Julia Set "Symmetries in Atomic Nuclei aims to present an overview of recent applications of symmetry to the description of atomic nuclei. Special care is given to a pedagogical introduction of symmetry concepts using simple examples. After a historical overview of the applications of symmetry in nuclear physics, progress in the field during the last decade is reviewed. Special emphasis is put on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei." "Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. Case studies show how these symmetries are displayed by real atomic nuclei which have been studied experimentally using state-of-the art spectroscopy." "Symmetries in Atomic Nuclei focuses on nuclear structure physics and has been written by active investigators in the field, but its scope is wider and is intended for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics."--Jacket A. Frank, J. Jolie, P. Van Isacker. Includes Bibliographical References (p. 173-181) And Index.