Download or read book Translation Lattices written by Richard S. Pierce and published by American Mathematical Soc.. This book was released on 1959 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Class of Translation Lattices written by J. C. Taylor and published by . This book was released on 1963 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Translation Lattices written by R. S. Pierce and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lattice Theory written by George Gratzer and published by Courier Corporation. This book was released on 2009-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.
Download or read book Artificial Gauge Fields with Ultracold Atoms in Optical Lattices written by Monika Aidelsburger and published by Springer. This book was released on 2015-12-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work reports on the generation of artificial magnetic fields with ultracold atoms in optical lattices using laser-assisted tunneling, as well as on the first Chern-number measurement in a non-electronic system. It starts with an introduction to the Hofstadter model, which describes the dynamics of charged particles on a square lattice subjected to strong magnetic fields. This model exhibits energy bands with non-zero topological invariants called Chern numbers, a property that is at the origin of the quantum Hall effect. The main part of the work discusses the realization of analog systems with ultracold neutral atoms using laser-assisted-tunneling techniques both from a theoretical and experimental point of view. Staggered, homogeneous and spin-dependent flux distributions are generated and characterized using two-dimensional optical super-lattice potentials. Additionally their topological properties are studied via the observation of bulk topological currents. The experimental techniques presented here offer a unique setting for studying topologically non-trivial systems with ultracold atoms.
Download or read book Modern Physics written by R Murugeshan & Kiruthiga Sivaprasath and published by S. Chand Publishing. This book was released on 2016 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eighteenth edition of this well-known textbook continues to provide a thorough understanding of the principles of modern physics. It offers a detailed presentation of important topics such as atomic physics, quantum mechanics, nuclear physics, solid state physics and electronics. The concepts are exhaustively presented with numerous examples and diagrams which would help the students in analysing and retaining the concepts in an effective manner. This textbook is a useful resource for undergraduate students and will also serve as a reference text for PG students.
Download or read book Heterostructural Interface Modelling written by David J. Fisher and published by Materials Research Forum LLC. This book was released on 2019-10-25 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interface structure of joined materials is a key factor in the development of high-tech components. The book reviews recent experimental and theoretical research in the area of modelling new types of joints and predicting the expected properties. Fields covered include lattice theory, semiconductor electronics, solid-state lithium-ion conductor, solid-state devices, filamentary growth of graphite, curved basal sheets of graphite, thermodynamic factors and lattice-matching criteria, minimisation of interface stresses due to misfit, epitaxial deposition, composite design, coincidence site lattice theory, ionic conductivity improvement by interfacial lattice strain, epitaxial thin-film systems, methods and software for identifying compatible material combinations. The book references 302 original resources and includes their direct web link for in-depth reading. Keywords: Interface Modelling, Lattice Theory, Semiconductor Electronics, Lithium-ion Conductor, Graphite Filaments, Graphite Sheets, Interface Stresses, Epitaxial Deposition, Composite Design, Coincidence-Site Lattice Theory, Ionic Conductivity, Interfacial Lattice Strain, Epitaxial Thin Films, Compatible-Material-Combination Software, Lattice-Matching to Silicon, Lattice-Matching to Smiconductors, Lattice-Matching to Sapphire, Lattice-Matching to Ceramics, Lattice-Matching to Metals, Lattice-Matching to Organic Materials.
Download or read book Lattices and Ordered Algebraic Structures written by T.S. Blyth and published by Springer Science & Business Media. This book was released on 2005-04-18 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS
Download or read book General Lattice Theory written by George Grätzer and published by Springer Science & Business Media. This book was released on 2002-11-21 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Grätzer’s 'General Lattice Theory' has become the lattice theorist’s bible. Now we have the second edition, in which the old testament is augmented by a new testament. The new testament gospel is provided by leading and acknowledged experts in their fields. This is an excellent and engaging second edition that will long remain a standard reference." --MATHEMATICAL REVIEWS
Download or read book Introduction To Phonons And Electrons written by Liang-fu Lou and published by World Scientific. This book was released on 2003-08-12 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on phonons and electrons, which the student needs to learn first in solid state physics. The required quantum theory and statistical physics are derived from scratch. Systematic in structure and tutorial in style, the treatment is filled with detailed mathematical steps and physical interpretations. This approach ensures a self-sufficient content for easier teaching and learning. The objective is to introduce the concepts of phonons and electrons in a more rigorous and yet clearer way, so that the student does not need to relearn them in more advanced courses. Examples are the transition from lattice vibrations to phonons and from free electrons to energy bands.The book can be used as the beginning module of a one-year introductory course on solid state physics, and the instructor will have a chance to choose additional topics. Alternatively, it can be taught as a stand-alone text for building the most-needed foundation in just one semester.
Download or read book Lattices with Unique Complements written by Vi_acheslav Nikolaevich Sali_ and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The class of uniquely complemented lattices properly contains all Boolean lattices. However, no explicit example of a non-Boolean lattice of this class has been found. In addition, the question of whether this class contains any complete non-Boolean lattices remains unanswered. This book focuses on these classical problems of lattice theory and the various attempts to solve them. Requiring no specialized knowledge, the book is directed at researchers and students interested in general algebra and mathematical logic.
Download or read book Mathematical Crystallography and the Theory of Groups of Movements written by Harold Hilton and published by . This book was released on 1908 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book INTRODUCTION TO SOLID STATE PHYSICS Second Edition written by KUMAR, ARUN and published by PHI Learning Pvt. Ltd.. This book was released on 2015-10-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Solid State Physics, in its Second Edition, provides a comprehensive introduction to the physical properties of crystalline solids. It explains the structure of crystals, theory of crystal diffraction and the reciprocal lattice. As the book advances, it describes different kinds of imperfections in crystals, bonding in solids, and vibration in one-dimensional monoatomic and diatomic linear lattice. Different theories of specific heat, thermal conductivity of solids and lattice thermal conductivity are thoroughly dealt with. Coverage also includes the free electron theory, band theory of solids and semiconductors. In addition, the book also describes in detail the magnetic properties of solids and superconductivity. Finally, the book includes discussions on lasers, nanotechnology and the basic principles of fibre optics and holography. Some new topics like cellular method, quantum Hall effect, de Haas van Alphen effect, Pauli paramagnetism and semiconductor laser have been added in the present edition of the book to make it more useful for the students. The book is designed to meet the requirements of undergraduate and postgraduate students of physics for their courses in solid state physics, condensed matter physics and material science. KEY FEATURES • Puts a conceptual emphasis on the subject. • Includes numerous diagrams and figures to clarify the concepts. • Gives step-by-step explanations of theories. • Provides chapter-end exercises to test the knowledge acquired.
Download or read book Lattice Theory written by Garrett Birkhoff and published by American Mathematical Soc.. This book was released on 1940-12-31 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its original publication in 1940, this book has been revised and modernized several times, most notably in 1948 (second edition) and in 1967 (third edition). The material is organized into four main parts: general notions and concepts of lattice theory (Chapters I-V), universal algebra (Chapters VI-VII), applications of lattice theory to various areas of mathematics (Chapters VIII-XII), and mathematical structures that can be developed using lattices (Chapters XIII-XVII). At the end of the book there is a list of 166 unsolved problems in lattice theory, many of which still remain open. It is excellent reading, and ... the best place to start when one wishes to explore some portion of lattice theory or to appreciate the general flavor of the field. --Bulletin of the AMS
Download or read book Interatomic Potentials and Simulation of Lattice Defects written by P. Gehlen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the proceedings of the Sixth Battelle Colloquium on the Science of Materials. The Colloquium was devoted to a new field of materials science in which computers are used to conduct the experiments. Although the computer methods used have reached a high degree of sophistication, the underlying principles are relatively straightforward and well understood. The interatomic force laws - a vital input into these computations - however are less well understood. Interatomic Potentials and Simulation of Lattice Defects primarily discusses the validity of a variety of force laws - either from a theoretical point of view or through comparisons of experimental results and those obtained with computer simulation. The format used in previous Battelle Institute Colloquia is followed. The opening session was aimed at providing an overall view of the field of interatomic forces and defect calculations by major contributors. It was led by Dr. G. H. Vineyard, one of the pioneers in this field. The second day was devoted to research papers on theoretical and experimental aspects of interatomic forces. The remaining days were devoted to research papers on computer simulation of the four types of defects: point defects, line defects, surface defects, and volume defects.
Download or read book Modern Condensed Matter Physics written by Steven M. Girvin and published by Cambridge University Press. This book was released on 2019-02-28 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Condensed Matter Physics brings together the most important advances in the field of recent decades. It provides instructors teaching graduate-level condensed matter courses with a comprehensive and in-depth textbook that will prepare graduate students for research or further study as well as reading more advanced and specialized books and research literature in the field. This textbook covers the basics of crystalline solids as well as analogous optical lattices and photonic crystals, while discussing cutting-edge topics such as disordered systems, mesoscopic systems, many-body systems, quantum magnetism, Bose–Einstein condensates, quantum entanglement, and superconducting quantum bits. Students are provided with the appropriate mathematical background to understand the topological concepts that have been permeating the field, together with numerous physical examples ranging from the fractional quantum Hall effect to topological insulators, the toric code, and majorana fermions. Exercises, commentary boxes, and appendices afford guidance and feedback for beginners and experts alike.
Download or read book Ordered Sets and Lattices II written by and published by American Mathematical Soc.. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
