Classical Analogies In The Solution Of Quantum Many Body Problems

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Classical Analogies in the Solution of Quantum Many-Body Problems

Author : Aydın Cem Keser
Publisher : Springer
ISBN 13 : 3030004880
Total Pages : 110 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Classical Analogies in the Solution of Quantum Many-Body Problems by : Aydın Cem Keser

Download or read book Classical Analogies in the Solution of Quantum Many-Body Problems written by Aydın Cem Keser and published by Springer. This book was released on 2018-11-07 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses problems in three main developments in modern condensed matter physics– namely topological superconductivity, many-body localization and strongly interacting condensates/superfluids–by employing fruitful analogies from classical mechanics. This strategy has led to tangible results, firstly in superconducting nanowires: the density of states, a smoking gun for the long sought Majorana zero mode is calculated effortlessly by mapping the problem to a textbook-level classical point particle problem. Secondly, in localization theory even the simplest toy models that exhibit many-body localization are mathematically cumbersome and results rely on simulations that are limited by computational power. In this book an alternative viewpoint is developed by describing many-body localization in terms of quantum rotors that have incommensurate rotation frequencies, an exactly solvable system. Finally, the fluctuations in a strongly interacting Bose condensate and superfluid, a notoriously difficult system to analyze from first principles, are shown to mimic stochastic fluctuations of space-time due to quantum fields. This analogy not only allows for the computation of physical properties of the fluctuations in an elegant way, it sheds light on the nature of space-time. The book will be a valuable contribution for its unifying style that illuminates conceptually challenging developments in condensed matter physics and its use of elegant mathematical models in addition to producing new and concrete results.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Integrability, Supersymmetry and Coherent States

Author : Şengül Kuru
Publisher : Springer
ISBN 13 : 3030200876
Total Pages : 434 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Integrability, Supersymmetry and Coherent States by : Şengül Kuru

Download or read book Integrability, Supersymmetry and Coherent States written by Şengül Kuru and published by Springer. This book was released on 2019-07-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.

Quantum Many-body Problems and Representation Theory

Author : Ivan Cherednik
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Many-body Problems and Representation Theory by : Ivan Cherednik

Download or read book Quantum Many-body Problems and Representation Theory written by Ivan Cherednik and published by . This book was released on 1998 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploring Classical Mechanics

Author : G. L. Kotkin
Publisher : Oxford University Press
ISBN 13 : 0192595512
Total Pages : 368 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Exploring Classical Mechanics by : G. L. Kotkin

Download or read book Exploring Classical Mechanics written by G. L. Kotkin and published by Oxford University Press. This book was released on 2020-08-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of a popular textbook offers an original collection of problems in analytical mechanics. Analytical mechanics is the first chapter in the study and understanding of theoretical physics. Its methods and ideas are crucially important, as they form the basis of all other branches of theoretical physics, including quantum mechanics, statistical physics, and field theory. Such concepts as the Lagrangian and Hamiltonian formalisms, normal oscillations, adiabatic invariants, Liouville theorem, and canonical transformations lay the foundation, without which any further in-depth study of theoretical physics is impossible. Wherever possible, the authors draw analogies and comparisons with similar processes in electrodynamics, quantum mechanics, or statistical mechanics while presenting the solutions to the problems. The book is based on the authors' many years of experience delivering lectures and seminars at the Department of Physics at Novosibirsk State University — totalling an impressive 110+ years of combined teaching experience. Most of the problems are original, and will be useful not only for those studying mechanics, but also for those who teach it. The content of the book corresponds to and roughly follows the mechanics course in the well-known textbooks by Landau and Lifshitz, Goldstein, or ter Haar. The Collection... starts with the Newtonian equations, motion in a central field, and scattering. Then the text proceeds to the established, traditional sections of analytical mechanics as part of the course on theoretical physics: the Lagrangian equations, the Noether theorem, linear and nonlinear oscillations, Hamilton formalism, and motion of a solid body. As a rule, the solution of a problem is not complete by just obtaining the required formulae. It's necessary to analyse the result. This can be an interesting process of discovery for the student and is by no means a "mechanical'' part of the solution. It is also very useful to investigate what happens if the conditions of the problem are varied. With this in mind, the authors offer suggestions of further problems at the end of several solutions. First published in 1969 in Russian, this text has become widely used in classrooms around the world. It has been translated into several languages, and has seen multiple editions in various languages.

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 1132 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applying Mathematics

Author : Otávio Bueno
Publisher : Oxford University Press
ISBN 13 : 0192546651
Total Pages : 276 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Applying Mathematics by : Otávio Bueno

Download or read book Applying Mathematics written by Otávio Bueno and published by Oxford University Press. This book was released on 2018-05-24 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effectiveness of mathematics' sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character, whereas others have pointed to the range of structures that mathematics offers. Otávio Bueno and Steven French offer a middle way, which focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics, which is formulated in terms of immersion, inference, and interpretation. In particular, the roles of idealisations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasize the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics, and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.

The Many-body Problem

Author : Daniel Charles Mattis
Publisher : World Scientific
ISBN 13 : 9810214766
Total Pages : 992 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis The Many-body Problem by : Daniel Charles Mattis

Download or read book The Many-body Problem written by Daniel Charles Mattis and published by World Scientific. This book was released on 1993 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary

Author : Stephen G Brush
Publisher : World Scientific
ISBN 13 : 1783261056
Total Pages : 664 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary by : Stephen G Brush

Download or read book Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary written by Stephen G Brush and published by World Scientific. This book was released on 2003-07-28 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces physics students and teachers to the historical development of the kinetic theory of gases, by providing a collection of the most important contributions by Clausius, Maxwell and Boltzmann, with introductory surveys explaining their significance. In addition, extracts from the works of Boyle, Newton, Mayer, Joule, Helmholtz, Kelvin and others show the historical context of ideas about gases, energy and irreversibility. In addition to five thematic essays connecting the classical kinetic theory with 20th century topics such as indeterminism and interatomic forces, there is an extensive international bibliography of historical commentaries on kinetic theory, thermodynamics, etc. published in the past four decades.The book will be useful to historians of science who need primary and secondary sources to be conveniently available for their own research and interpretation, along with the bibliography which makes it easier to learn what other historians have already done on this subject.

Modeling and Computational Methods for Kinetic Equations

Author : Pierre Degond
Publisher : Springer Science & Business Media
ISBN 13 : 0817682007
Total Pages : 360 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Modeling and Computational Methods for Kinetic Equations by : Pierre Degond

Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Bulletin of the Atomic Scientists

Author :
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bulletin of the Atomic Scientists by :

Download or read book Bulletin of the Atomic Scientists written by and published by . This book was released on 1959-02 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

A Modern Approach to Quantum Mechanics

Author : John S. Townsend
Publisher : University Science Books
ISBN 13 : 9781891389139
Total Pages : 498 pages
Book Rating : 4.3/5 (891 download)

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Book Synopsis A Modern Approach to Quantum Mechanics by : John S. Townsend

Download or read book A Modern Approach to Quantum Mechanics written by John S. Townsend and published by University Science Books. This book was released on 2000 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.

INIS Atomindex

Author :
Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis INIS Atomindex by :

Download or read book INIS Atomindex written by and published by . This book was released on 1988 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

FUNDAMENTALS OF CHEMISTRY - Volume I

Author : Sergio Carrà
Publisher : EOLSS Publications
ISBN 13 : 1905839588
Total Pages : 480 pages
Book Rating : 4.9/5 (58 download)

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Book Synopsis FUNDAMENTALS OF CHEMISTRY - Volume I by : Sergio Carrà

Download or read book FUNDAMENTALS OF CHEMISTRY - Volume I written by Sergio Carrà and published by EOLSS Publications. This book was released on 2009-05-05 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Chemistry theme in two volumes, is a component of Encyclopedia of Chemical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme is organized into six different topics which represent the main scientific areas : History and Fundamentals of Chemistry; Chemical Experimentation and Instrumentation; Theoretical Approach to Chemistry; Chemical Thermodynamics; Rates of Chemical Reactions; Chemical Synthesis of Substances. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs

The Oxford Handbook of the History of Quantum Interpretations

Author : Guido Bacciagaluppi
Publisher : Oxford University Press
ISBN 13 : 0198844492
Total Pages : 1311 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis The Oxford Handbook of the History of Quantum Interpretations by : Guido Bacciagaluppi

Download or read book The Oxford Handbook of the History of Quantum Interpretations written by Guido Bacciagaluppi and published by Oxford University Press. This book was released on 2022 with total page 1311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crucial to most research in physics, as well as leading to the development of inventions such as the transistor and the laser, quantum mechanics approaches its centenary with an impressive record. However, the field has also long been the subject of ongoing debates about the foundations and interpretation of the theory, referred to as the quantum controversy. This Oxford Handbook offers a historical overview of the contrasts which have been at the heart of quantum physics for the last 100 years. Drawing on the wide-ranging expertise of several contributors working across physics, history, and philosophy, the handbook outlines the main theories and interpretations of quantum physics. It goes on to tackle the key controversies surrounding the field, touching on issues such as determinism, realism, locality, classicality, information, measurements, mathematical foundations, and the links between quantum theory and gravity. This engaging introduction is an essential guide for all those interested in the history of scientific controversies and history of quantum physics. It also provides a fascinating examination of the potential of quantum physics to influence new discoveries and advances in fields such quantum information and computing.

Mechanics

Author : T. T. Taylor
Publisher : Elsevier
ISBN 13 : 1483139980
Total Pages : 412 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Mechanics by : T. T. Taylor

Download or read book Mechanics written by T. T. Taylor and published by Elsevier. This book was released on 2016-10-13 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics: Classical and Quantum is a 13-chapter book that begins by explaining the Lagrangian and Hamiltonian formulation of mechanics. The Hamilton-Jacobi theory, historical background of the quantum theory, and wave mechanics are then described. Subsequent chapters discuss the time-independent Schrödinger equation and some of its applications; the operators, observables, and the quantization of a physical system; the significance of expectation values; and the concept of measurement in quantum mechanics. The matrix mechanics and the "hydrogenic atom", an atom in which one electron moves under the influence of a nucleus of charge that, to a very good approximation, can be thought of as a point, are also presented. This book will be very useful to students studying this field of interest.