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112 Physik/Astronomie Springer News 11/12/2006 springer.de/buchhandel J. Basdevant, Ecole Polytechnique, Palaiseau, France J. Basdevant, Ecole Polytechnique, Palaiseau, France J. Bhattacharjee , Indian Association for Cultivation of Science, Calcutta, India; S. Bhattacharyya , Vidyas- Lectures on Quantum Variational Principles in agar College, Calcutta, India Mechanics Physics Non-Linear Dynamics Near and Far from Equilibrium Beautifully illustrated and engagingly written, Optimization under constraints is an essential Twelve Lectures in Quantum Mechanics presents part of everyday life. Indeed, we routinely solve theoretical physics with a breathtaking array problems by striking a balance between contra- Th is text gives a detailed account of various of examples and anecdotes. Basdevant’s style is dictory interests, individual desires and material techniques that are used in the study of dynamics clear and stimulating, in the manner of a brisk contingencies. Th is notion of equilibrium was dear of continuous systems, near as well as far from classroom lecture that students can follow with to thinkers of the enlightenment, as illustrated equilibrium. Th e analytic methods covered include ease and enjoyment. Here is a sample of the book’s by Montesquieu’s famous formulation: „In all diagrammatic perturbation theory, various forms style, from the opening of Chapter 1: If one were to magistracies, the greatness of the power must be of the renormalization group and self-consistent ask a passer-by to quote a great formula of physics, compensated by the brevity of the duration.“ mode coupling. Dynamic critical phenomena near chances are that the answer would be ‘E = mc2’. Astonishingly, natural laws are guided by a similar a second order phase transition, phase ordering In fact, of the three watershed years for physics principle. Variational principles have proven to be dynamics, dynamics of surface growth and turbu- toward the beginning of the 20th century – 1905: surprisingly fertile. For example, Fermat used vari- lence form the backbone of the book.Applications the Special Relativity of Einstein, Lorentz and ational methods to demonstrate that light follows to a wide variety of systems (e.g. magnets, ordinary Poincaré; 1915: the General Relativity of Einstein, the fastest route from one point to another, an idea fl uids, superfl uids) are provided covering diverse with its extraordinary refl ections on gravitation, which came to be known as Fermat’s principle, transport properties (diff usion, sound). space and time; and 1925: the development of a cornerstone of geometrical optics. Variational Quantum Mechanics – it is surely the last which Principles in Physics explains variational principles Features has the most profound implications for the devel- and charts their use throughout modern physics. 7 A detailed description of perturbation theory opment of science and technology. for nonlinear continuous systems 7 Focus on Features techniques which can be applied to problems Features 7 Th e heart of the book is devoted to the ranging from near equilibrium dynamics to fully 7 Jean-Louis Basdevant is a writer and teacher analytical mechanics of Lagrange and Hamilton, developed turbulence 7 Provides a discussion of renowned for his clarity and lively style 7 Th ese the basic tools of any physicist 7 Basdevant physical properties (e.g. critical ultrasonics) that lectures will joint Basdevant & Dalibard’s “Th e also off ers a simple but rich fi rst impressions of are generally not covered in text books Quantum Mechanics Solver” as ideal supplements Einstein’s General Relativity, Feynman’s Quantum to the standard textbooks on quantum mechanics Mechanics, and more, revealing amazing intercon- Contents nections between various fi elds of physics 1: Introduction.- 2: Dynamics.- 3: Dynamic Renor- Contents malization Group.- 4: Mode Coupling Th eories.- Prologue: An Elegy for Physics.- Wave Functions, Contents 5: Binary Fluid Mixtures.- 6: Spinodal Decomposi- Th e Schrödinger Equation.- Th e Grandeur of Foreword.- Variational Principles.- Th e Analytical tion.- 7: Surface Growth.- 8: Turbulence.- Physics.- Quantization of Energies.- Principles of Mechanics of Lagrange.- Th e Canonical Formalism 9: Polymer Dynamics.- Appendix A – Functional Quantum Mechanics.- Two-State Systems.- An of Hamilton.- Th e Lagrangian Th eory of Fields.- Integration. Appendix B – Field Th eoretic RG.- Algebra of Observables.- Th e Kinetic Moment.- Movement in a Curved Space.- Feynman’s Path Subject Index. Th e Hydrogen Atom.- 1/2 Spin.- Th e Pauli Integrals in Quantum Mechanics.- Solutions to Exclusion Principle.- Quantum Entanglement.- Exercises.- Bibliography.- Index. Fields of interest Epilogue: Quantum Mechanics and the Universe.- Statistical Physics; Soft Matter, Complex Fluids Index. Fields of interest Mathematical Methods in Physics; Mechanics; Target groups Fields of interest Calculus of Variations and Optimal Control; Beginning graduate students, senior undergradu- Quantum Physics; Quantum Computing, Informa- Optimization ates, researchers tion and Physics; Elementary Particles, Quantum Field Th eory Target groups Type of publication Advanced undergraduate and graduate students in Monograph Target groups Physics, Engineering, Chemistry and Mathematics Advanced undergraduate and graduate students in Physics, Mathematics, and Chemistry Type of publication Graduate/Advanced undergraduate textbook Type of publication Graduate/Advanced undergraduate textbook Due February 2007 Due February 2007 Due November 2006 Original French edition published by Vuibert, Paris, Original French edition published by Vuibert, Paris, Distribution rights for India: Hindustan Book Agency, France, 2005 France, 2005 New Delhi, India 2007. XXVI, 313 p. 30 illus. Hardcover 2007. Approx. 205 p. 30 illus. Hardcover 2006. Approx. 320 p. Hardcover 7 approx. * € 58,80 | sFr 97,50 7 approx. * € 49,43 | sFr 84,00 7 * € 139,05 | sFr 220,00 ISBN_13 7 978-0-387-37742-1 ISBN_13 7 978-0-387-37747-6 ISBN_13 7 978-1-4020-5387-0 9<HTLDTH=dhhecb>ISBN_10 7 0-387-37742-5 9<HTLDTH=dhhehg>ISBN_10 7 0-387-37747-6 9<HTMELC=afdiha>ISBN_10 7 1-4020-5387-8 springer.de/buchhandel Springer News 11/12/2006 Physik/Astronomie 113 M. Camenzind , Landessternwarte Heidelberg, F. Cap , Universität Innsbruck, Austria A. Carramiñana , Instituto Nacional de Astroﬁ sica, Germany Optica y Electronica, Mexico; F. S. Guzmán , Instituto Tsunamis and Hurricanes de Fisica y Matematicas, Mexico; T. Matos, Centro de Investigacion y de Estudios Avanzados del IPN, Compact Objects in A mathematical approach Astrophysics Mexico (Eds.) White Dwarfs, Neutron Stars and Black Holes Solar, Stellar and Galactic Tsunamis and hurricanes have had a devastating impact on the population living near the coast Connections between Particle during the year 2005. Th e calculation of the power Physics and Astrophysics Compact objects are an important class of astro- and intensity of tsunamis and hurricanes are nomical objects in current research. Supermas- of great importance not only for engineers and sive Black Holes play an important role in the meteorologists but also for governments and insur- understanding of the formation of galaxies in the ance companies. Th is book presents new research Th is book collects extended and specialized early Universe. Old White Dwarfs are nowadays on the mathematical description of tsunamis reviews on topics linking astrophysics and particle used to calibrate the age of the Universe. Mergers and hurricanes. A combination of old and new physics at a level intermediate between a graduate of Neutron Stars and Black Holes are the sources of approaches allows to derive a nonlinear partial student and a young researcher. Th e book includes intense gravitational waves which will be measured diff erential equation of fi ft h order describing the also three reviews on observational techniques in the next ten years by gravitational wave detec- steepening up and the propagation of tsunamis. used in forefront astrophysics and short articles on tors. Th e description includes dissipative terms and research performed in Latin America. Th e reviews, Camenzind gives a comprehensive introduc- does not contain singularities or two valued func- updated and written by specialized researchers, tion and up-to-date overview about the physical tions. Th e equivalence principle of solutions of describe the state of the art in the related research processes behind these objects, covering the nonlinear large gas dynamic waves and of solutions topics. Th is book is a valuable complement not fi eld from the beginning to most recent results, of water wave equations will be used. An extension only for research but also for lecturers in special- including all relevant observations. Aft er a presen- of the continuity equation by a source term due ized course of high energy astrophysics, cosmic ray tation of the taxonomy of Compact Objects, the to evaporation rates of salt seawater will help to astrophysics and particle physics. basic principles of General Relativity are given. understand hurricanes. Detailed formula, tables and results of the calculations are given. Features Features 7 Stellar and galactic connections between astro- 7 Modern comprehensive introduction and Features physics and particle physics contains fi ve updated overview of the physics of White Dwarfs, Neutron 7 Detailed mathematical analysis of tsunamis reviews on topics linking these two research areas, Stars and Black Holes, including all relevant 7 First exact description

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