Mathematical Physics in One Dimension PDF Download
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Author: Elliott H. Lieb
Publisher: Academic Press
ISBN: 1483218562
Category : Science
Languages : en
Pages : 580
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Book Description
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.
Author: Elliott H. Lieb
Publisher: Academic Press
ISBN: 1483218562
Category : Science
Languages : en
Pages : 580
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Book Description
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.
Author: Thierry Giamarchi
Publisher: Oxford University Press
ISBN: 0198525001
Category : Mathematics
Languages : en
Pages : 441
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Book Description
This volume presents in a pedagogical yet complete way correlated systems in one dimension. After an introduction to the basic concepts of correlated systems, it gives a step-by-step description of the techniques needed to treat one dimension, and discusses the resulting physics.
Author: T. M. Kishan
Publisher:
ISBN: 9781549897283
Category :
Languages : en
Pages : 37
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Book Description
The e-book series has been especially designed for students who are studying in classes eleven and twelve. The book can be used for multiple purposes and has proven to be very beneficial to students. These books can be used for revisions, ready references and as a comprehensive back-up of contents.Each book in this series approaches the subject in a very conceptual and coherent manner. While its illustrative and solved examples will facilitate easy mastering of the concepts and their applications, an array of solved problems will expose the students to the variety and nature of questions that they can expect to face in the examination. The coverage and features of this series of books make it highly useful for all the students, anywhere in the world.FeaturesIncludes questions and problems, which will help students understand the concept; by immediately applying the same.Students will find that the book has covered all the concepts of Physics that students need to know in order to master the subject at the school level. Every topic also has the main and important points properly and neatly mentioned, which the student can remember. The book has been divided into various chapters, all of which covers the important concepts right from Measurement, Laws of Motion and Work, up to Elasticity, Thermodynamics and Oscillations.The chapters have been illustrated with well-designed diagrams and illustrations with examples. Table of ContentsThis Chapter contains detailed concepts involved in understanding topics related to 2.1 Position2.2 Rest and motion2.3 Types of motion2.4 Point mass2.5 Distance and displacement 2.6 Speed and velocity2.7 Acceleration 2.8 Position-time graph2.9 Velocity-time graph 2.10 Equations of kinematics 2.11 Motion under gravity2.12 Motion with variable acceleration
Author: Irna Lyublinskaya
Publisher:
ISBN: 9781938168932
Category : Physics
Languages : en
Pages : 1665
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Book Description
"This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems."--Website of book.
Author: Vladimir Privman
Publisher: Cambridge University Press
ISBN: 052155974X
Category : Science
Languages : en
Pages : 490
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Book Description
Self-contained and up-to-date guide to one-dimensional reactions, dynamics, diffusion and adsorption.
Author: Jean-Pierre Colinge
Publisher: Cambridge University Press
ISBN: 1107052408
Category : Science
Languages : en
Pages : 269
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Book Description
A self-contained and up-to-date account of the current developments in the physics and technology of nanowire semiconductor devices.
Author: Fabio Franchini
Publisher: Springer
ISBN: 3319484877
Category : Science
Languages : en
Pages : 186
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Book Description
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.
Author: Robert Gilmore
Publisher: JHU Press
ISBN: 9780801880148
Category : Science
Languages : en
Pages : 248
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Book Description
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.
Author: Fabian H. L. Essler
Publisher: Cambridge University Press
ISBN: 1139441582
Category : Science
Languages : en
Pages : 692
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Book Description
This book presents an account of the exact solution of the Hubbard model in one dimension. The early chapters develop a self-contained introduction to Bethe's ansatz and its application to the one-dimensional Hubbard model. The later chapters address more advanced topics.
Author: J. Devreese
Publisher: Springer Science & Business Media
ISBN: 1461328950
Category : Science
Languages : en
Pages : 428
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Book Description
Although the problem of a metal in one dimension has long been known to solid-state physicists, it was not until the synthesis of real one-dimensional or quasi-one-dimensional systems that this subject began to attract considerable attention. This has been due in part to the search for high temperature superconductivity and the possibility of reaching this goal with quasi-one-dimensional substances. A period of intense activity began in 1973 with the report of a measurement of an apparently divergent conduc tivity peak in TfF-TCNQ. Since then a great deal has been learned about quasi-one-dimensional conductors. The emphasis now has shifted from trying to find materials of very high conductivity to the many interesting problems of physics and chemistry involved. But many questions remain open and are still under active investigation. This book gives a review of the experimental as well as theoretical progress made in this field over the last years. All the chapters have been written by scientists who have established themselves as experts in theoreti cal and experimental solid-state physics. The book is intended to be of use both to students and researchers entering the field as well as to more advanced physicists. The wealth of ideas and information it contains ought to be useful to anyone interested in quasi-one-dimensional systems, organic solids, or the search for novel conduction and superconduction mechanisms. The editors are very grateful to the authors for their collaboration in this book.
