This Quantum World is an introduction to the subject of quantum mechanics, following the historical development of the theory. Physics and mathematics required, not for the faint of heart. Contents: Atoms, Serious illnesses require drastic remedies, The Feynman route to Schrödinger, The Schrödinger equation: implications and applications, Entanglement: a preview.
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Archive for the ‘Physics’ Category
This Quantum World
Saturday, November 7th, 2009Traveling Wave Solutions of Parabolic Systems
Saturday, November 7th, 2009The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems, their existence, stability, and bifurcations. The main part of the book contains original approaches developed by the authors.
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Unbounding the Future: the Nanotechnology Revolution
Thursday, November 5th, 2009This book delivers a rich array of micro-scenarios of nanotechnology at work, some thrilling, some terrifying, all compelling. Probably none represent exactly what will happen, but in aggregate they give a deep sense of the kind of thing that will happen. Strategies of how to stay ahead of the process are proposed, but the ultimate responsibility for the wholesome use and development of nanotechnology falls on every person aware of it. That now includes you.
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Unsolved Problems in Mathematical Systems and Control Theory
Thursday, November 5th, 2009This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science.
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Von Neumann Algebras and Local Quantum Theory
Thursday, November 5th, 2009These notes are based on lectures given many years ago at the Institute of Physics, University of Sao Paulo, Brazil. The material includes an introduction to von Neumann algebras and modular theory and the beginnings of algebraic quantum theory.
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What is String Theory?
Thursday, November 5th, 2009The first part is an introduction to conformal field theory and string perturbation theory. The second part deals with the search for a deeper answer to the question posed in the title. Contents: Conformal Field Theory; String Theory; Vacua and Dualities; String Field Theory or Not String Field Theory; Matrix Models.
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Why the Boundary of a Round Drop Becomes a Curve of Order Four
Thursday, November 5th, 2009Description:
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution. This text discusses this topic and other recent work in the theory of fluid flows with a moving boundary.
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Worked Examples in the Geometry of Crystals
Thursday, November 5th, 2009The monograph begins with an introduction to the range of topics that can be handled using the concepts developed in detail in later chapters. The introduction also serves to familiarize the reader with the notation used. The other chapters cover orientation relationships, aspects of deformation, martensitic transformations and interfaces.
Algebraic Quantum Field Theory
Thursday, November 5th, 2009Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools — the theory of operator algebras, category theory, etc. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Thursday, November 5th, 2009The name Analytical Dynamics is given to that branch of knowledge in which the motions of material bodies, considered as due to the mutual interactions of the bodies, are discussed by the aid of mathematical analysis. There are few books on mathematical mechanics as famous as this, a work that forms a comprehensive account of all the classical results of analytical dynamics
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