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Infinite Dimensional Algebras and Quantum Integrable Systems (Progress in Mathematics)
Manufacturer: Birkhäuser Basel
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ASIN: 376437215X |
Book Description
This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems'' held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. Recent developments in the theory of infinite dimensional algebras and their applications to quantum integrable systems are reviewed by some of the leading experts in the field. The volume will be of interest to a broad audience, from graduate students to researchers in mathematical physics and related fields.
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Quantum Integrable Systems (Research Notes in Mathematics Series)
Asesh Roy Chowdhury , and
Aninlya Ghose Choudhury
Manufacturer: Chapman & Hall/CRC
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ASIN: 1584883804 |
Book Description
The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the more recent advances. This book presents and clarifies the developments of the last ten years in quantum integrable systems. After a preliminary discussion of the fundamentals of classical nonlinear integrable systems, the authors explore the quantum domain. Their approach emphasizes physical systems and the use of concrete examples, and they take care to establish the relationship between new and older methods. The presentation includes the first comprehensive discussion of the quantum Bäcklund transformation Q-operator and various techniques related to algebraic Bethe Ansatz that are not available elsewhere in book form. In Quantum Integrable Systems, researchers active in the field have an up-to-date source for recent advances and new techniques, and nonspecialists finally have an accessible introduction to the concepts and basic tools they need to explore and exploit the wide-ranging applicability of the subject.
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Calogero-Moser-Sutherland Models (CRM Series in Mathematical Physics)
Manufacturer: Springer
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ASIN: 0387989684 |
Book Description
In the 1970s F. Calogero and D. Sutherland discovered that for certain potentials in one-dimensional systems, but for any number of particles, the Schrödinger eigenvalue problem is exactly solvable. Until then, there was only one known nontrivial example of an exactly solvable quantum multi-particle problem. J. Moser subsequently showed that the classical counterparts to these models is also amenable to an exact analytical approach. The last decade has witnessed a true explosion of activities involving Calogero-Moser-Sutherland models, and these now play a role in research areas ranging from theoretical physics (such as soliton theory, quantum field theory, string theory, solvable models of statistical mechanics, condensed matter physics, and quantum chaos) to pure mathematics (such as representation theory, harmonic analysis, theory of special functions, combinatorics of symmetric functions, dynamical systems, random matrix theory, and complex geometry). The aim of this volume is to provide an overview of the many branches into which research on CMS systems has diversified in recent years. The contributions are by leading researchers from various disciplines in whose work CMS systems appear, either as the topic of investigation itself or as a tool for further applications.
Book Description
The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.
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Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete: Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable ... II: Mathematics, Physics and Chemistry)
Manufacturer: Springer
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ASIN: 1402035020 |
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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces (Lecture Notes in Physics)
Alexey V. Shchepetilov
Manufacturer: Springer
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ASIN: 3540353844 |
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The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials.
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Classical and Quantum Nonlinear Integrable Systems: Theory and Application (Series in Mathematical and Computational Physics)
Manufacturer: Taylor & Francis
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ASIN: 0750309598 |
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Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories and applications and another on quantum aspects, Classical and Quantum Nonlinear Integrable Systems: Theory and Application reviews the advances made in nonlinear integrable systems, with emphasis on the underlying concepts rather than technical details. It forms an outstanding introductory textbook as well as a useful reference for specialists.
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Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential equations (or D-modules) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.
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Geometric and Quantum Aspects of Integrable Systems (Lecture Notes in Physics)
Manufacturer: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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ASIN: 3540573658 |
Book Description
This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.
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Henry James: Novels 1896-1899: The Other House / The Spoils of Poynton / What Maisie Knew / The Awkward Age (Library of America)
Henry James
Manufacturer: Library of America
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James, Henry
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Henry James: Novels 1901-1902: The Sacred Fount / The Wings of the Dove (Library of America)
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Henry James : Novels 1881-1886: Washington Square, The Portrait of a Lady, The Bostonians (Library of America)
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Henry James : Novels 1871-1880: Watch and Ward, Roderick Hudson, The American, The Europeans, Confidence (Library of America)
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Henry James: Complete Stories, 1892-1898 (Library of America)
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Henry James : Complete Stories 1884-1891 (Library of America)
ASIN: 1931082308
Release Date: 2003-03-10 |
Book Description
This fourth volume in the Library of America edition of the complete novels of Henry James contains the four novels he wrote after a failed attempt to forge a career as a playwright on the London stage. Together they mark the beginning of the brilliant period in the novelist's career known as the late phase.
The Other House (1896) shows James incorporating an act of murder into the heart of his narrative. Long neglected, the novel is a fascinating glimpse into a very different side of Henry James, as he explores the violent implications of jealousy and possessiveness. In The Spoils of Poynton (1897), the artworks conserved in the manor house of the title become the object of a protracted power struggle between the mother and the fiancée of the heir to the house. The struggle, in this most tightly constructed of James's late novels, hinges ultimately on the sensitivities of a third woman.
What Maisie Knew (1897) recounts the aftermath of a divorce through the eyes of the couple's daughter. James adopts what he described as "the consciousness, the dim, sweet, scared, wondering, clinging perception of the child." Similarly experimental, The Awkward Age (1899) maps the interrelations of a large cast of characters, a group of old friends and their children, almost entirely through dialogue. The ambiguity of childhood innocence is central to both of these novels.
Customer Reviews:
Intended for an extended shelf life.......2003-04-08
Compiled and edited by Myra Jehlen (Board of Governors Chair of Literatures at Rutgers University), Henry James: Novels 1896-1899 is the fourth volume in The Library of America edition of the complete novels of Henry James and contains the four novels written after James failed in his attempt to create a professional career as a playwright on the London stage. The novels include "The Other House" (1896); "The Spoils of Poynton" (1897); "What Maise Knew" (1897); and "The Awkward Age" (1899). Like all more than 150 titles published by The Library of America, Henry James: Novels 1896-1899 is printed on high quality paper, intended for an extended shelf life, and is a mandatory addition to University and College library collections.
Customer Reviews:
Nice piece of 1890s James.......2005-06-23
Negative reviews of this small gem baffle me. The writing is so refined that in the best passages slide forth in a leisurely, ambling brilliance. Fleda Vetch, who dreams away the chance of marriage and ruins both her own and her loved one's prospects, in her indecision and her vanity, has a great Jamesian fineness and clearness. The dialogue is crisp and witty. The possessive, acute Mrs Gereth a wonderfully large creation; and the ending a satisfying moment of justice after a bitter climax. Recommended.
Not the Master's Strongest.......2002-03-19
I give this three stars in an internal world where 5 is James at his best. In comparison to most fiction the rating would be higher, but as a DEVOUT fan, I live in my own internal world. In that world, James who was more critical than any of us, would understand that in comparison to other later era work and even middle period work, Spoils does not live up to his best. It is fun and light, another reviewer mentioned obvious signs of a stylistic shift perhaps being too obvious here. That feels on the money to me. That said, if you've read almost everything, it is a light turn with the Master and that has something delicious in it no matter what.
Just this side of unreadable.......2001-12-08
Henry James, The Spoils of Poynton (Dell, 1897)
The Spoils of Ponyton is the first novel James wrote in his "later style," in other words, drawing-room satire that isn't really about much of anything at all. For some odd reason, later-era James is what's universally praised in lit classes around the globe, while the early stuff, which is actually worth reading, is largely ignored.
To be fair, James did get better at satire as time went on, but The Spoils of Ponyton has all the hallmarks of being a first attempt at a stylistic change. The novel centers on two characters who are utterly incapable of action, which wouldn't be so bad if the characters who were doing the acting were more involved. Such is, sadly, not the case. Owen and Fleda just sort of drift and react; as the book is told from Fleda's point of view, we end up with page after page of something that, in the hands of a better author (even a later James, had he re-written it) would have come off as uber-Tevye; weighing the various merits of various courses of action, not being able to decide on a course, and letting fate take her where it will. In Fiddler on the Roof, it works (largely because Tevye's monologues are brief and to the point); in Poynton, it blithers on endlessly, with all the fascination for the reader of watching cheese spoil.
If you're new to James, by all means do yourself a favor and start with something he wrote earlier in his career. Leave Poynton until after you've developed enough of a taste for James to pick up later-era works, and then read the major ones before diving into this. *
Fairly weak for James..........2001-07-30
I read this one a few years ago, and I have to rank it at the bottom of the list (along with "The Europeans").
Though Fleda Vetch can be fascinating in a Hamlet-esque way (through her infuriating inability to act), this novel is far from a must-read as far as James goes.
A beautifully made parable.......1998-05-17
Fleda is gifted with sensitivity to beauty. She finds it in the "things" her friend Mrs. Gereth has spent a lifetime collecting and in Mrs. Gereth's son, Owen. If Fleda acted with even a touch of cunning -- or just acted, period -- she could possess both. James gives her many opportunities, but, for some maddening reason, she won't seize them. Why? James is at his enigmatic best in this tightly plotted tale written after his experiences as a playwright led him to show more and tell the reader less.
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