Quantum Physics In One Dimension
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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.
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.
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.
The Picture Book Of Quantum Mechanics
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Author : Siegmund Brandt
language : en
Publisher: Springer
Release Date : 2011-06-28
The Picture Book Of Quantum Mechanics written by Siegmund Brandt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Science categories.
This book aims to provide an intuitive understanding of wave mechanics by using computer generated illustrations to present the time evolution and parameter dependence of wave functions for one and three-dimensional systems. The situations discussed range from the simple particle in a box through resonant scattering in one dimension to the hydrogen atom and Regge classification of resonant scattering. The text helps students to establish the relation between quantum mechanics and classical physics.
The Picture Book Of Quantum Mechanics
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Author : Siegmund Brandt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Picture Book Of Quantum Mechanics written by Siegmund Brandt 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 studying classical mechanics, students are often helped by the fact that intuitions developed in everday life can give one a good idea of the behavior of the idealized objects dealt with in introductory courses. In addition, equations encountered are sufficiently simple to solve even in relatively complex situations that students can further develop their intution by solving problems. In learning quantum theory, however, intutions developed for the classical world fail, and the equations to be solved are sufficiently complex that they can readily be solved without a computer only for the simplest situations. This book represents an attempt to jump the hurdle to an intuitive understanding of wave mechanics by using illustrations profusely to present the time evolution and parameter dependence of wave functions in a wide variety of situations. Most of the illustrations are computer-generated solutions of the Schr dinger equation for one- and three-dimensional systems. The situations discussed range from the simple particle in a box through resonant scattering in one dimension to the hydrogen atom and Regge classification of resonant scattering. This edition has been thoroughly revised and expanded to include a discussion of spin and magnetic resonance.
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.
Quantum Theory For Mathematicians
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Author : Brian C. Hall
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-19
Quantum Theory For Mathematicians written by Brian C. Hall 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 2013-06-19 with Science categories.
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
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 presents in a pedagogical yet complete way correlated systems in one dimension. Recent progress in nanotechnology and material research have made one dimensional systems a crucial part of today's physics. After an introduction to the basic concepts of correlated systems, the book gives a step by step description of the techniques needed to treat one dimension, and discusses the resulting physics. Then specific experimental realizations of one dimensional systems such as spin chains, quantum wires, nanotubes, organic superconductors etc. are examined. Given its progressive and pedagogical approach, this book should satisfy both graduate students who want to learn the tools of the trade and become professionals in the field as well as more advanced researchers who want to know more about the physics of a specific one dimensional system without unnecessary technicalities.
The Physics Of Quantum Mechanics
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Author : James Binney
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-12
The Physics Of Quantum Mechanics written by James Binney and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12 with Science categories.
This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Quantum Physics
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Author : A.I Lvovsky
language : en
Publisher: Springer
Release Date : 2018-05-12
Quantum Physics written by A.I Lvovsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-12 with Science categories.
This textbook is intended to accompany a two-semester course on quantum mechanics for physics students. Along with the traditional material covered in such a course (states, operators, Schrödinger equation, hydrogen atom), it offers in-depth discussion of the Hilbert space, the nature of measurement, entanglement, and decoherence – concepts that are crucial for the understanding of quantum physics and its relation to the macroscopic world, but rarely covered in entry-level textbooks. The book uses a mathematically simple physical system – photon polarization – as the visualization tool, permitting the student to see the entangled beauty of the quantum world from the very first pages. The formal concepts of quantum physics are illustrated by examples from the forefront of modern quantum research, such as quantum communication, teleportation and nonlocality. The author adopts a Socratic pedagogy: The student is guided to develop the machinery of quantum physics independently by solving sets of carefully chosen problems. Detailed solutions are provided.