Mathematical Physics In One Dimension

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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.

Mathematical Physics In One Dimension

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Author : Elliott H. Lieb
language : en
Publisher:
Release Date : 1966

Mathematical Physics In One Dimension written by Elliott H. Lieb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Many-body problem categories.

Mathematical Physics In One Dimension

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Author : Elliott H. Lieb
language : en
Publisher:
Release Date : 1981

Mathematical Physics In One Dimension written by Elliott H. Lieb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.

Mathematical Physics In One Dimension

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Author : Elliott H. Lieb
language : en
Publisher:
Release Date : 1966

Mathematical Physics In One Dimension written by Elliott H. Lieb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.

Mathematical Physics In One Dimension

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Author :
language : en
Publisher:
Release Date : 1968

Mathematical Physics In One Dimension written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.

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.

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.

Spectral Theory And Mathematical Physics A Festschrift In Honor Of Barry Simon S 60th Birthday

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Author : Fritz Gesztesy
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Spectral Theory And Mathematical Physics A Festschrift In Honor Of Barry Simon S 60th Birthday written by Fritz Gesztesy and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.

Issues In Applied Mathematics 2013 Edition

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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2013-05-01

Issues In Applied Mathematics 2013 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-01 with Mathematics categories.

Issues in Applied Mathematics / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Mathematical Physics. The editors have built Issues in Applied Mathematics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Physics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Mathematics: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Spectral Analysis Differential Equations And Mathematical Physics A Festschrift In Honor Of Fritz Gesztesy S 60th Birthday

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Author : Helge Holden
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-07-08

Spectral Analysis Differential Equations And Mathematical Physics A Festschrift In Honor Of Fritz Gesztesy S 60th Birthday written by Helge Holden and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-08 with Mathematics categories.

This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu