Physics In One Dimension
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Physics In One Dimension
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Author : J. Bernasconi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Physics In One Dimension written by J. Bernasconi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In 1966, E.H. Lieb and D.C. r1attis published a book on "Mathematical Physics in One Dimension" [Academic Press, New York and London] which is much more than just a collection of reprints and which in fact marked the beginnings of the rapidly growing interest in one-dimensional problems and materials in the 1970's. In their Foreword, Lieb and r~attis made the observation that " ... there now exists a vast literature on this subject, albeit one which is not indexed under the topic "one dimension" in standard indexing journals and which is therefore hard to research ... ". Today, the situation is even worse, and we hope that these Proceedings will be a valuable guide to some of the main current areas of one-dimensional physics. From a theoretical point of view, one-dimensional problems have always been very attractive. Many non-trivial models are soluble in one dimension, while they are only approximately understood in three dimensions. Therefore, the corresponding exact solutions serve as a useful test of approximate ma thematical methods, and certain features of the one-dimensional solution re main relevant in higher dimensions. On the other hand, many important phe nomena are strongly enhanced, and many concepts show up especially clearly in one-dimensional or quasi -one-dimensional systems. Among them are the ef fects of fluctuations, of randomness, and of nonlinearity; a number of in teresting consequences are specific to one dimension.
Mathematical Physics In One Dimension
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Author : Elliott H. Lieb
language : en
Publisher: Academic Press
Release Date : 2013-09-17
Mathematical Physics In One Dimension written by Elliott H. Lieb and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-17 with Science categories.
Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.
One Dimensional Conductors
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Author : Seiichi Kagoshima
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
One Dimensional Conductors written by Seiichi Kagoshima and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This volume deals with physical properties of electrically one-dimensional conductors. It includes both a description of basic concepts and a review of recent progress in research. One-dimensional conductors are those materials in which an electric current flows easily in one specific crystal direction while the resistivity is very high in transverse directions. It was about 1973 when much attention began to be focussed on them and investigations started in earnest. The research was stimulated by the successful growth of crystals of the organic conductor TTF-TCNQ and of the inorganic conductor KCP. New concepts, characteristic of one dimension, were established in the in vestigations of their properties. Many new one-dimensional conductors were also found and synthesized. This field of research is attractive because of the discovery of new ma terials, phenomena and concepts which have only recently found a place in the framework of traditional solid-state physics and materials science. The relation of this topic to the wider field of solid-state sciences is therefore still uncertain. This situation is clearly reflected in the wide distribution of the fields of specialization of researchers. Due to this, and also to the rapid progress of research, no introductory book has been available which covers most of the important fields of research on one-dimensional conductors.
One Dimensional Metals
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Author : Siegmar Roth
language : en
Publisher: John Wiley & Sons
Release Date : 2006-03-06
One Dimensional Metals written by Siegmar Roth and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-06 with Science categories.
Low-dimensional solids are of fundamental interest in materials science due to their anisotropic properties. Written not only for experts in the field, this book explains the important concepts behind their physics and surveys the most interesting one-dimensional systems and discusses their present and emerging applications in molecular scale electronics. The second edition of this successful book has been completely revised to include the remarkable achievements of the last ten years of research and applications. Chemists, polymer and materials scientists as well as students will find this book a very readable introduction to the solid-state physics of electronic materials.
Electronic Properties Of Inorganic Quasi One Dimensional Compounds
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Author : P. Monceau
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Electronic Properties Of Inorganic Quasi One Dimensional Compounds written by P. Monceau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The close relationship between experimentalists and theorists – whether solid state chemists or physicists – has, in the last few years, inspired much research in the field of materials with quasi one-dimensional structures. This volume, Part I of a two-volume set, reviews the basic theories describing the physical properties of one-dimensional materials including their superconducting characteristics. This description is mainly based on the properties of transition metal trichalcogenides. The novel collective transport mechanism for electronic conduction, exhibited by some of the latter compounds – NbSe3 being considered as the prototype – is surveyed according to a classical theory and a theory including macroscopic quantum effects. In addition, the book contains a description of the properties of non-linear excitations, or solitons, in one-dimensional systems.
Behavior And Culture In One Dimension
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Author : Dennis Waters
language : en
Publisher: Routledge
Release Date : 2021-03-08
Behavior And Culture In One Dimension written by Dennis Waters and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-08 with Language Arts & Disciplines categories.
Behavior and Culture in One Dimension adopts a broad interdisciplinary approach, presenting a unified theory of sequences and their functions and an overview of how they underpin the evolution of complexity. Sequences of DNA guide the functioning of the living world, sequences of speech and writing choreograph the intricacies of human culture, and sequences of code oversee the operation of our literate technological civilization. These linear patterns function under their own rules, which have never been fully explored. It is time for them to get their due. This book explores the one-dimensional sequences that orchestrate the structure and behavior of our three-dimensional habitat. Using Gibsonian concepts of perception, action, and affordances, as well as the works of Howard Pattee, the book examines the role of sequences in the human behavioral and cultural world of speech, writing, and mathematics. The book offers a Darwinian framework for understanding human cultural evolution and locates the two major informational transitions in the origins of life and civilization. It will be of interest to students and researchers in ecological psychology, linguistics, cognitive science, and the social and biological sciences.
Many Body Problem The An Encyclopedia Of Exactly Solved Models In One Dimension 3rd Printing With Revisions And Corrections
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Author : Daniel C Mattis
language : en
Publisher: World Scientific
Release Date : 1993-03-15
Many Body Problem The An Encyclopedia Of Exactly Solved Models In One Dimension 3rd Printing With Revisions And Corrections written by Daniel C Mattis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-15 with Science categories.
This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.
An Introduction To Integrable Techniques For One Dimensional Quantum Systems
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Author : Fabio Franchini
language : en
Publisher: Springer
Release Date : 2017-05-25
An Introduction To Integrable Techniques For One Dimensional Quantum Systems written by Fabio Franchini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Science categories.
This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
Elementary Quantum Mechanics In One Dimension
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Author : Robert Gilmore
language : en
Publisher: JHU Press
Release Date : 2004-10-22
Elementary Quantum Mechanics In One Dimension written by Robert Gilmore and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-22 with Science categories.
One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrödinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schrödinger's Equation offers new insight into quantum mechanics at an elementary level. Gilmore presents compact transfer matrix methods for solving quantum problems that can easily be implemented on a personal computer. He shows how to use these methods on a large variety of potentials, both simple and periodic. He shows how to compute bound states, scattering states, and energy bands and describes the relation between bound and scattering states. Chapters on alloys, superlattices, quantum engineering, and solar cells indicate the practical application of the methods discussed. Gilmore's concise and elegant treatment will be of interest to students and professors of introductory and intermediate quantum courses, as well as professionals working in electrical engineering and applied mathematics.
Quantum Physics In One Dimension
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Author : Thierry Giamarchi
language : en
Publisher: Clarendon Press
Release Date : 2003-12-18
Quantum Physics In One Dimension written by Thierry Giamarchi and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-18 with Science categories.
This book is a pedagogical yet complete introduction to the physics of one-dimensional systems, a topic of fundamental importance in the light of today's progress in nanotechnology and materials research. Written in a gentle, easy-going style it is accessible to graduate students and leads to the frontiers of current research.