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Beyond Quasicrystals
This book is the collection of most of the written versions of the Courses given at the Winter School "Beyond Quasicrystals" in Les Houches (March 7-18, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of geometric order in solids beyond standard periodicity and quasi periodicity. The overall structure of the book reflects the wish of the editors to pose this fundamental question of geometric order in solids from both the experimental and theoretical point of view. The first part is devoted more specifically to quasicrystals. These materials were the common starting point of most of the audience and present a first concrete example of a non-trivial geometric order. We chose to focus on a few fundamental aspects of quasicrystals related to hidden symmetries in solids which are not easily found in standard textbooks on the topic, not to reach an exhaustive survey which is already available elsewhere.
Physical Basis of Plasticity in Solids
This book introduces the physical mechanism of the plastic deformation of solids, which relies essentially on the occurence and motion of dislocations. These are linear defects, specific of crystalline solids whose motion under external stresses explains the relative ease by which solids (metals in particular) can be deformed in order to give them desired shapes. The objective is to introduce the topic to undergraduate students, restricting to the main ideas and showing their relevance in interpreting phenomena well known to everyone (e.g. why are certain metals harder than others?), and finally training the students in the practice of calculating the simplest properties of dislocations.
Quantum Mechanics
Gives a fresh and modern approach to the field. It is a textbook on the principles of the theory, its mathematical framework and its first applications. It constantly refers to modern and practical developments, tunneling microscopy, quantum information, Bell inequalities, quantum cryptography, Bose-Einstein condensation and quantum astrophysics. The book also contains 92 exercises with their solutions.
Beyond Quasicrystals
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The Physics of Quasicrystals
This book comprises an introductory lecture outlining the basic concepts and challenges in the field. This is followed by a collection of reprinted articles which are important in understanding the subject. The book will focus mainly on mathematical and physical foundations of the subject rather than experimental progress. By concentrating on theoretical topics, this volume has long-lasting as well as immediate value to physicists, crystallographers, metallurgists and mathematicians.
Coverings of Discrete Quasiperiodic Sets
In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe results. The text describes specific systems in 2 and 3 dimensions with many illustrations, and analyzes the atomic positions in quasicrystals.
Large-Angle Convergent-Beam Electron Diffraction Applications to Crystal Defects
A publication of the French Society of Microscopies, Large-Angle Convergent-Beam Electron Diffraction Applications to Crystal Defects is devoted to an important aspect of electron diffraction. Convergent-beam diffraction is capable of furnishing remarkably accurate crystallographic information. In this book, the author goes well beyond a simple presentation of the method. The description of convergent-beam electron diffraction and especially of LACBED is preceded by several preparatory chapters, in which the principles of diffraction and the nature of electron-matter interactions are clearly set out. An entire chapter is concerned with instrumentation. Another on the interpretation of diffraction patterns enables the reader to master all stages in the process. The book ends with a long chapter in which numerous applications concerned with the characterization of crystal defects are examined and analyzed.
Quasicrystals: Proceedings Of The Spring School
This book focuses on current topics in quasicrystal science and research. Various themes are addressed, such as atomic structure, growth of quasicrystals, statistical physics and thermodynamics, magnetism, phasons, propagation of waves, surfaces and technological potential of quasicrystals. Insight into basics in physics and chemistry is also given, with examples from metallurgy, the surface of alloys, plasticity, etc., in order to point out the possible genuine aspects of quasicrystals and allow a better comparison with conventional alloys.
New Non-Perturbative Methods and Quantization on the Light Cone
Among the several distinct ways of formulating and quantizing a Hamiltonian system, the light cone approach enjoys special status because it has the largest stability group. The aim of this volume is to present recent achievements and open problems in this rather unusual quantization framework to a large audience. The formulation is set up in a comprehensive introduction where the issues are also clearly indicated with specific examples: vacuum structure, signature of non-perturbative effects, chiral symmetry breaking, light cone gauge theories, etc. The following chapters address these topics through a selection of the most relevant contributions presented at Les Houches. This volume should prove valuable to newcomers in the field, and graduates and academics.
