Atomic Physics is certainly the oldest field in which Quantum Mechanics has been used and has provided the most significant proofs of this new theory. Most of the basic concepts, except those more recently developed in field quantization, have been understood for quite a time. Atomic Physics began to serve as a basis for other fields such as molecu lar, solid state or nuclear physics. A renewal of interest in Atomic Physics began in the sixties, after the discovery of Quantum Electro dynamics, and later when it provided some basic tests of fundamental questions like parity violation, time reversal or Dirac theory. More recently the development of new technologies led to the ex ploration of very extreme cases in which the most secrete aspects of atoms have been observed. - Rydberg states where the atoms are so big that they can be described by classical theories; - Heavy or super-heavy ions or exotic atoms where unknown QED or relativistic effects can be observed (very heavy hydrogenlike or helium like ions, positron production in very violent collisions ••. ); - Huge external perturbations as those appearing in super-dense plasmas or ultra-high fields. The aim of this school was to gather atomic physicists from all over the world working in all these areas of Atomic Physics.
Motivates students by challenging them with real-life applications of the somtimes esoteric aspects of quantum mechanics that they are learning. Offers completely original excerices developed at teh Ecole Polytechnique in France, which is know for its innovative and original teaching methods. Problems from modern physics to help the student apply just-learnt theory to fields such as molecular physics, condensed matter physics or laser physics.
A comprehensive overview of weak convergence of stochastic processes and its application to the study of financial markets. Split into three parts, the first recalls the mathematics of stochastic processes and stochastic calculus with special emphasis on contiguity properties and weak convergence of stochastic integrals. The second part is devoted to the analysis of financial theory from the convergence point of view. The main problems, which include portfolio optimization, option pricing and hedging are examined, especially when considering discrete-time approximations of continuous-time dynamics. The third part deals with lattice- and tree-based computational procedures for option pricing both on stocks and stochastic bonds. More general discrete approximations are also introduced and detailed. Includes detailed examples.
Lagoons and estuaries are transition spaces between earth and sea. Beyond their expanse, geographic repartition, geomorphological, hydroclimatic and ecobiological diversity and biodiversity, they play an important role in regional economies and are some of the ecosystems most vulnerable to global change. Reinforced by numerous references, this book studies Mediterranean lagoonal and estuarine fishes whose diversity largely depends on the composition of neighboring marine and continental ichtyofauna. The authors describe their morphological, biological, ecological and behavioral characteristics by evoking their distinctive features and differences with their marine or freshwater homologues. Their adaptation strategies, elucidated thanks to recent advances in morphology, genetics and molecular biology, are recognized as a major advantage in the context of climate change. This book is for natural environment managers, engineers, teachers, students and researchers.
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