Robert Gilmore

In this cleverly conceived book, physicist Robert Gilmore makes accessible some complex concepts in quantum mechanics by sending Alice to Quantumland-a whole new Wonderland, smaller than an atom, where each attraction demonstrates a different aspect of quantum theory. Alice unusual encounters, enhanced by illustrations by Gilmore himself, make the Uncertainty Principle, wave functions, the Pauli Principle, and other elusive concepts easier to grasp.

An Allegory of Quantum Physics

Alice in Quantumland

أليس في بلاد الكم

Alice nel paese dei quanti. Le avventure della fisica

Nessa genial mistura de fantasia e ciência, Alice, aquela do País das Maravilhas, está prestes a embarcar em outra jornada. Ela conhecerá o País do Quantum uma espécie de parque de diversões intelectual menor que um átomo e irá se deparar com desafios, jogos e atrações que esclarecem os diferentes aspectos da física quântica. Através dessa alegoria, o leitor conhece de forma acessível e divertida os domínios fundamentais da física quântica. Inteligentemente concebido e escrito, e com muitas ilustrações, 'Alice no País do Quantum' coloca conceitos físicos ao alcance do leitor comum. Não é necessário conhecimento de matemática para acompanhar as travessuras da heroína, só gosto pela aventura intelectual e uma forte curiosidade pelo mundo que nos rodeia.

a física quântica ao alcance de todos

Alice no país do quantum

When the destination sign on Scrooges train reads "HEAT DEATH" instead of "HEATHROW," when his dead partner Marleys face appears as a talking head in a department store TV, and when the street lights outside his flat begin acting strangely, it is a sign of a bad night to come. Like his famous ancestor, the modern Scrooge is about to be visited by ghosts. But its not his hard heart that needs opening; its his closed mind. Physicist Robert Gilmore, author of the popular Alice in Quantumland, presents here a delightful takeoff, where the three visitations represent Science Past, Present and Future. For everyone who wants a playful, painless yet surprisingly sophisticated introduction to the ideas of modern physics, this is a brilliant tour de force and a charming read.

Visions of Energy, Time, and Quantum Nature

Scrooge's Cryptic Carol

An inspirational book of poetry to which everyone can relate. Poems from My Life in Sunshine and Shadows is an uplifting read, with many compositions on life, love and happiness. A positive attitude and sunny disposition that will have you chuckling out loud. A wonderful mix of humor and spirituality.

Through the Years, in Sunshine and Shadows

An adventurous couple wins a lottery and goes to the moon. Things dramatically escalate when they discover and lay claim to an ancient alien spacecraft. Although based upon the best known facts, this book provides an intrinsically intertwined viewpoint of science, fiction, and comedy. From the moon to Mars, to Jupiter, the asteroids, and elsewhere, it will entertain all age groups. 7th graders and Dr. Neil deGrasse Tyson should enjoy this book.

Bina Luna

This advanced-level treatment describes the mathematics of catastrophe theory and its applications to problems in mathematics, physics, chemistry and engineering. 28 tables. 397 black-and-white illustrations. 1981 edition.

Catastrophe Theory for Scientists and Engineers

Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.

An Introduction for Physicists, Engineers and Chemists

Lie Groups, Physics, and Geometry

Thousands of readers who were delighted by the adventures and science content of Alice in Quantumland are in for another treat. This time physicist Robert Gilmore takes us on a journey with Dorothy, following the yellow building block road through the land of the Wizard of Quarks. Using characters and situations based on the Wizard of Oz story, we learn along the way about the fascinating world of particle physics. Classes of particles, from quarks to leptons are shown in an atomic garden, where atoms and molecules are produced. See how Dorothy, The Tin Geek, and the Cowardly Lion experience the bizarre world of subatomic particles.

A Fantasy of Particle Physics

The Wizard of Quarks

Marc Lefranc

A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on: * Discrete Dynamical Systems: Maps * Continuous Dynamical Systems: Flows * Topological Invariants * Branched Manifolds * The Topological Analysis Program * Fold Mechanisms * Tearing Mechanisms * Unfoldings * Symmetry * Flows in Higher Dimensions * A Program for Dynamical Systems Theory Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.

Alice in Stretch and Squeezeland

The Topology of Chaos

Alice sitzt gelangweilt vor dem Fernseher; da fällt ihr Blick auf "Alice im Wunderland", das sie kürzlich gelesen hat. Sie sehnt sich danach, vergleichbare Abenteuer zu erleben, stürzt und fällt in Ohnmacht. In ihrem Traum fällt sie durch den Bildschirm hindurch, wo sie - verkleinert - auf die Elektronen trifft, die als Strahl den Bildschirm zum Leuchten bringen. Das ist erst der Anfang der Geschichte, in der Alice nach und nach die Besonderheiten der Quantenwelt kennenlernt. Sie begegnet Menschen wie Niels Bohr, die sie unter ihre Fittiche nehmen, und steht mit Elektronen und Quarks auf du und du. In dieser neuen Form der Geschichte von Alice beschreibt Robert Gilmore - selbst angesehener Physiker - kenntnisreich und amüsant, welche Besonderheiten uns die Welt der Elektronen und Quarks bietet. Schließlich wird Alice (und damit den Lesern) klargemacht, daß nach 70 Jahren der Forschung auf diesem Gebiet ungelöste Fragen an die Grundlagen der Quantentheorie übriggeblieben sind, die vielleicht nie gelöst werden können. Rezension erschienen in: junge wissenschaft Ausgabe / Band 12Jg., Heft 45, S. 60f Feb. 97 (...) ist es dem Autor in hervorragender Weise gelungen, eine didaktisch äußerst wertvolle Darstellung der Quantenmechanik zu präsentieren(...) (...)erreicht damit einen wesentlich größerenLeserkreis(...) (...)sehr abgerundetes Bild der Quantenphysik(...) (...)in sehr geschickter Weise(...) (...)in sehr prägnanter Form, jedoch in fachlicher Hinsicht völlig korrekt(...) (...)Als besonders gelungen darf man die Übersetzung aus dem englischen Original bezeichnen(...) (...)Sehr lobenswert erwähnt werden muß wohl auch die vom deutschen Übersetzer vorgenommene Aktualisierung beim inzwischen gelungenen Nachweis des top-Quark am Fermilab(...) (...)Der rezensent ist davon überzeugt, daß auch der versierte Physiker dieses Buch mit großem Genuß lesen muß(...)

Alice im Quantenland

energia, czas i natura kwantów

Współczesna opowieść wigilijna

Christophe Letellier

R. S. Gilmore

There is a tremendous fascination with chaos and fractals, about which picture books can be found on coffee tables everywhere. Chaos and fractals represent hands-on mathematics that is alive and changing. One can turn on a personal computer and create stunning mathematical images that no one has ever seen before. Chaos and fractals are part of dynamics, a larger subject that deals with change, with systems that evolve with time. Whether the system in question settles down to equilibrium, keeps repeating in cycles, or does something more complicated, it is dynamics that scientists and mathematicians use to analyze a system's behavior. Chaos is the term used to describe the apparently complex behavior of what we consider to be simple, well-behaved systems. Chaotic behavior, when looked at casually, looks erratic and almost random. The type of behavior that in the last 20 years has come to be called chaotic arises in very simple systems. In fact, these systems are essentially deterministic; that is, precise knowledge of the conditions of a system allow future behavior of the system to be predicted. The problem of chaos is to reconcile these apparently conflicting notions: randomness and predictability. Why have scientists, engineers, and mathematicians become intrigued by chaos? The answer to that question has two parts: (1) the study of chaos has provided new conceptual tools enabling scientists to categorize and understand complex behavior and (2) chaotic behavior seems to be universal - from electrical circuits to nerve cells. Chaos is about predictability in even the most unstable systems, and symmetry is a pattern of predictability - a conceptual tool to help understand complex behavior. The Symmetry of Chaos treats this interplay between chaos and symmetry. This graduate textbook in physics, applied mathematics, engineering, fluid dynamics, and chemistry is full of exciting new material, illustrated by hundreds of figures. Nonlinear dynamics and chaos are relatively young fields, and in addition to serving textbook markets, there is a strong interest among researchers in new results in the field. The authors are the foremost experts in this field, and this book should give a definitive account of this branch of dynamical systems theory.

The Symmetry of Chaos

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively. Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical — not necessarily widely known — contributions (about the different types of chaos introduced by Rössler and not just the “Rössler attractor”; Gumowski and Mira's contributions in electronics; Poincaré's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc. Contents:Introduction to Topological Analysis (Christophe Letellier & Robert Gilmore)Emergence of a Chaos Theory:The Peregrinations of Poincaré (R Abraham)A Toulouse Research Group in the “Prehistoric” Times of Chaotic Dynamics (Christian Mira)Can We Trust in Numerical Computations of Chaotic Solutions of Dynamical Systems? (René Lozi)Chaos Hierarchy — A Review, Thirty Years Later (Otto E Rössler & Christophe Letellier)Development of the Topology of Chaos:The Mathematics of Lorenz Knots (Joan S Birman)A Braided View of a Knotty Story (Mario Natiello & Hernán Solari)How Topology Came to Chaos (Robert Gilmore)Reflections From the Fourth Dimension (Marc Lefranc)The Symmetry of Chaos (Christophe Letellier)Applications of Chaos Theory:The Shape of Ocean Color (Nicholas Tufillaro)Low Dimensional Dynamics in Biological Motor Patterns (Gabriel B Mindlin)Minimal Smooth Chaotic Flows (Jean-Marc Malasoma)The Chaotic Marriage of Physics and Financial Economics (Claire Gilmore)Introduction of the Sphere Map with Application to Spin-Torque Nano-Oscillators (Keith Gilmore & Robert Gilmore)Robert Gilmore, a Portrait (Hernán G Solari) Readership: Graduate students and researchers interested in topological analysis of nonlinear dynamical systems producing chaotic attractors. Keywords:Chaos;Topology;Nonlinear DynamicsKey Features:Historical survey, main concepts and some applicationsIncludes contributions from most of the main scientists in the field (Rössler, Birman, and Lefranc)An introduction for beginners is included

In Celebration of Robert Gilmore's 70th Birthday

Topology and Dynamics of Chaos

An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions.

Lie Groups, Lie Algebras, and Some of Their Applications

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required to identify and classify a strange attractor can be extracted from experimental data. In its first edition, the Topology of Chaos has been a valuable resource for physicist and mathematicians interested in the topological analysis of dynamical systems. Since its publication in 2002, important theoretical and experimental advances have put the topological analysis program on a firmer basis. This second edition includes relevant results and connects the material to other recent developments. Following significant improvements will be included: * A gentler introduction to the topological analysis of chaotic systems for the non expert which introduces the problems and questions that one commonly encounters when observing a chaotic dynamics and which are well addressed by a topological approach: existence of unstable periodic orbits, bifurcation sequences, multistability etc. * A new chapter is devoted to bounding tori which are essential for achieving generality as well as for understanding the influence of boundary conditions. * The new edition also reflects the progress which had been made towards extending topological analysis to higher-dimensional systems by proposing a new formalism where evolving triangulations replace braids. * There has also been much progress in the understanding of what is a good representation of a chaotic system, and therefore a new chapter is devoted to embeddings. * The chapter on topological analysis program will be expanded to cover traditional measures of chaos. This will help to connect those readers who are familiar with those measures and tests to the more sophisticated methodologies discussed in detail in this book. * The addition of the Appendix with both frequently asked and open questions with answers gathers the most essential points readers should keep in mind and guides to corresponding sections in the book. This will be of great help to those who want to selectively dive into the book and its treatments rather than reading it cover to cover. What makes this book special is its attempt to classify real physical systems (e.g. lasers) using topological techniques applied to real date (e.g. time series). Hence it has become the experimenter?s guidebook to reliable and sophisticated studies of experimental data for comparison with candidate relevant theoretical models, inevitable to physicists, mathematicians, and engineers studying low-dimensional chaotic systems.

Vous connaissiez les aventures d'Alice au pays des merveilles : la voici maintenant au pays des quanta. Au cours de son voyage, d'étranges personnages, habitants de ce pays, l'aideront à mieux comprendre la nature du monde quantique : le célèbre lapin traversera devant ses yeux (grâce à l'effet tunnel) une porte hermétiquement close ; le Représentant en Etats montrera à Alice comment les électrons peuvent se trouver à deux endroits à la fois, les trois frères Quark la feront tournoyer dans une des célèbres danses du collisionneur au château de Rutherford ; elle assistera aussi aux efforts du Comptable d'Incertitude pour équilibrer les comptes de la Banque d'Energie Heisenberg, réduits à néant par les fluctuations quantiques... Alice fait ainsi l'expérience de divers effets quantiques, jusqu'à remonter le temps et aller à la rencontre d'elle-même.

Robert Gilmore

About

Books

Join the club