Memorial Volume For Ludwig Faddeev

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Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics

Author : Ge Mo-lin
Publisher : World Scientific
ISBN 13 : 9813233877
Total Pages : 636 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics by : Ge Mo-lin

Download or read book Ludwig Faddeev Memorial Volume: A Life In Mathematical Physics written by Ge Mo-lin and published by World Scientific. This book was released on 2018-05-18 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots. Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including "Faddeev's equations" and "Faddeev's Green function" in scattering theory, "Faddeev-Popov ghosts" and "Faddeev-Popov determinant" in gauge theories, "Gardner-Faddeev-Zakharov bracket" for the KdV equation, "Faddeev-Zamolodchikov algebra" in quantum integrable systems, "Faddeev-Reshetikhin-Takhtajan construction" in the theory of quantum groups, knotted solitons in the "Skyrme-Faddeev model" and many others. Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986-1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang. "Ludwig and I had been good friends since the early 1970s. We had overlapping interests in several areas of physics. He was very powerful mathematically. I had written in several places that he should have shared the 1999 Nobel Prize in Physics with 't Hooft and Veltman" C N Yang, Nobel Laureate in Physics 1997 in Seoul. Faddeev with Baxter and Yang. 2005 in Tsinghua University. Left to right: Faddeev, Yang, Niemi and Ge.

Ludwig Faddeev Memorial

Author : Alejandro Kievsky
Publisher : Springer
ISBN 13 : 9783030373573
Total Pages : 373 pages
Book Rating : 4.3/5 (735 download)

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Book Synopsis Ludwig Faddeev Memorial by : Alejandro Kievsky

Download or read book Ludwig Faddeev Memorial written by Alejandro Kievsky and published by Springer. This book was released on 2021-02-12 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This issue is dedicated to the memorial of professor Ludwig Faddeev, who strongly influenced the physics of few-body systems mainly due to his theoretical works in what at present days are called the Faddeev equations, largely used by the few-body community to describe the dynamics and structure of few-body systems. This issue contains the two winners of the 2018 Faddeev Medal, which was created to recognize distinguished achievements in Few-Body Physics. It is awarded every three years to a scientist who advanced the field of few-body physics significantly. In 2018 an international panel selected the winners of the 2018 award: Prof. Vitaly Efimov and Prof. Rudolf Grimm. The contents show the deep influence of Prof. Faddeev in different fields of physics. The solutions of the Faddeev equations represented a challenge for many years and at present times from their solution theoretical models can be tested with great detail to experimental data. This has boosted the studied of few-nucleon systems and new methods have been developed as well. Many contributions discuss different aspects of the few-nucleon problem from a theoretical and an experimental point of view. They represent the best of our knowledge at present times. Spin-off from Journal Few-Body Systems, Volumes 60 (2019)

Fifty Years of Mathematical Physics

Author : Molin Ge
Publisher : World Scientific Publishing Company
ISBN 13 : 9814340960
Total Pages : 596 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Fifty Years of Mathematical Physics by : Molin Ge

Download or read book Fifty Years of Mathematical Physics written by Molin Ge and published by World Scientific Publishing Company. This book was released on 2016-02-16 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.

Memorial Volume For Stanley Mandelstam

Author : Berkovits Nathan Jacob
Publisher : World Scientific
ISBN 13 : 9813207868
Total Pages : 348 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Memorial Volume For Stanley Mandelstam by : Berkovits Nathan Jacob

Download or read book Memorial Volume For Stanley Mandelstam written by Berkovits Nathan Jacob and published by World Scientific. This book was released on 2017-06-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stanley Mandelstam (1928–2016) was one of the most influential and respected particle theorists. Coming as a young chemical engineer from South Africa to study theoretical physics in England, he quickly became a leading physicist in his field. With his deep understanding of quantum field theory, he pioneered the development of the analytic S-matrix theory as well as the path-dependent formulations for quantum gauge theories and for quantum general relativity. They are being actively used for the electroweak theory and having their imprints in lattice gauge theory and loop quantum gravity. Also he elucidated the mechanisms for quark confinement in quantum chromodynamics, constructed non-perturbative bosonization methods in 1+1 dimensions, and proved the perturbative finiteness and β=0 of N=4 supersymmetric Yang–Mills theory. His work also led to the discovery of dual resonance models, which in turn became superstring theory. He was a leader in these developments, devoting much of his later years to the proof that the theory is perturbatively finite so it can be considered as a contender for the theory of quantum gravity. He was also a very modest and friendly man, impressing everyone with his sharp intellect as well as his humanity. This volume contains essays written by many of his friends and students, including both detailed reports on his scientific achievements as well as personal reminiscences. Also collected in the volume are some selected reprints of Mandelstam's early seminal papers and abstracts of selected papers representing the full spectrum of his contributions. Contents: Recollections of Stanley Mandelstam (Geoffrey Chew) Scientific Biography of Stanley Mandelstam: 1955–1980 (Charles B Thorn) Scientific Biography of Stanley Mandelstam: 1981–2016 (Nathan Berkovits) Stanley Mandelstam: Brief Biography and Selected Publications with Commentary (Ling-Lie Chau) Stanley Mandelstam: The Early Years at a 'Most Stimulating Theoretical Group' (Sabine Lee) The Guiding Influence of Stanley Mandelstam, from S-Matrix Theory to String Theory (Peter Goddard) Remembering Stanley: From a Source of Inspiration to a Fair Strong Competitor (G Veneziano) Stanley Mandelstam and Me and Life on the Light-cone (Lars Brink) Reminiscences of Stanley Mandelstam (John H Schwarz) Stanley Mandelstam and My Postdoctoral Years at Berkeley (Steven Frautschi) Reminiscences on Stanley Mandelstam (Korkut Bardakci) Remembering a Gentle Giant of Physics (Charles Sommerfield) Grad School with Stanley Mandelstam (Joseph Polchinski) Remembering a Gentle Giant of Physics (Mary K Gaillard) Mandelstam & NAL (Pierre Ramond) The Influence of Stanley Mandelstam (Michael B Green) My Interaction with Stanley Mandelstam (Paolo Di Vecchia) My Advisor Stanley (Sang-Jin Sin) Stanley Mandelstam My Graduate Supervisor (Arjun Berera) Reprints and Abstracts of Selected Publications: The Mandelstam Representations in the Mandelstam Variables for S-Matrices: Determination of the Pion-Nucleon Scattering Amplitude from Dispersion Relations and Unitarity. General Theory Analytic Properties of Transition Amplitudes in Perturbation Theory Two-Dimensional Representations of Scattering Amplitudes and Their Applications The S-Matrix Approach: Theory of Low-Energy Pion–Pion Interactions Dispersion Relations in Strong-Coupling Physics The Mandelstam Path-Field Formulation for Quantum Gauge Theories and Feynman Rules: Quantum Electrodynamics Without Potentia

Gribov-80 Memorial Volume

Author : Yuri Dokshitzer
Publisher : World Scientific
ISBN 13 : 9814350192
Total Pages : 597 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Gribov-80 Memorial Volume by : Yuri Dokshitzer

Download or read book Gribov-80 Memorial Volume written by Yuri Dokshitzer and published by World Scientific. This book was released on 2011 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Naumovich Gribov was one of the most outstanding theoretical physicists, a key figure in the development of modern elementary particle physics. His insights into the physics of quantum anomalies and the origin of classical solutions (instantons), the notion of parton systems and their evolution in soft and hard hadron interactions, the first theory of neutrino oscillations and conceptual problems of quantization of non-Abelian fields uncovered by him, have left a lasting impact on the theoretical physics of the 21st century. Gribov-80 - the fourth in a series of memorial workshops for V. N. Gribov - was organized on the occasion of his 80th birthday in May 2010, at the Abdus Salam International Centre for Theoretical Physics. The workshop paid tribute to Gribov's great achievements and brought close colleagues, younger researchers and leading experts together to display the new angles of the Gribov heritage at the new energy frontier opened up by the Large Hadron Collider. The book is a collection of the presentations made at the workshop.

Gribov-80 Memorial Volume

Author : Yu L Dokshitzer
Publisher : World Scientific
ISBN 13 : 9814460508
Total Pages : 596 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Gribov-80 Memorial Volume by : Yu L Dokshitzer

Download or read book Gribov-80 Memorial Volume written by Yu L Dokshitzer and published by World Scientific. This book was released on 2011-04-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Naumovich Gribov was one of the most outstanding theoretical physicists, a key figure in the development of modern elementary particle physics. His insights into the physics of quantum anomalies and the origin of classical solutions (instantons), the notion of parton systems and their evolution in soft and hard hadron interactions, the first theory of neutrino oscillations and conceptual problems of quantization of non-Abelian fields uncovered by him, have left a lasting impact on the theoretical physics of the 21st century. Gribov-80 — the fourth in a series of memorial workshops for V N Gribov — was organized on the occasion of his 80th birthday in May 2010, at the Abdus Salam International Centre for Theoretical Physics. The workshop paid tribute to Gribov's great achievements and brought close colleagues, younger researchers and leading experts together to display the new angles of the Gribov heritage at the new energy frontier opened up by the Large Hadron Collider. The book is a collection of the presentations made at the workshop. Contents:Remembering VolodyaProgressing in QCDStrongly Interacting SystemsRecent Results in General Field Theory and Gravity Readership: Physics, researchers, and graduate students in particle physics. Keywords:Gribov;Quarks;Field Theory;Quantum Chromodynamics;QCD;Hadron;Pomeron;LHC;Confinement

Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday

Author : Harald Fritzsch
Publisher : World Scientific
ISBN 13 : 9814335606
Total Pages : 730 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday by : Harald Fritzsch

Download or read book Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday written by Harald Fritzsch and published by World Scientific. This book was released on 2011 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Conference on Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity was held in honour of Professor Murray Gell-Mann's 80th birthday in Singapore on 24?26 February 2010. The conference paid tribute to Professor Gell-Mann's great achievements in the elementary particle physics. This notable birthday volume contains the presentations made at the conference by many eminent scientists, including Nobel laureates C N Yang, G 't Hooft and K Wilson. Other invited speakers include G Zweig, N Samios, M Karliner, G Karl, M Shifman, J Ellis, S Adler and A Zichichi. About Murray Gell-Mann Murray Gell-Mann, born September 15, 1929, won the 1969 Nobel Prize in physics for his work on the theory of elementary particles. His contributions span the entire history of particle physics, from the early days of the particle zoo to the modern day QCD. Along the way, even as he proposed new quantum numbers to bring order into the zoo, he had fun in naming them. And thus was born Strangeness, Flavor, Hadrons, Baryons, Leptons, the Eightfold Way, Color, Quarks, Gluons and, with Harald Fritzsch, the standard field theory of strong interactions, Quantum Chromodynamics (QCD). He also proposed with Richard Feynman the V-A theory of beta decay. Gell-Mann discovered the Current Algebra, proposed (with Levy) the sigma model of pions and the see-saw mechanism for the neutrino masses.

The Abel Prize 2013-2017

Author : Helge Holden
Publisher : Springer
ISBN 13 : 3319990284
Total Pages : 774 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Abel Prize 2013-2017 by : Helge Holden

Download or read book The Abel Prize 2013-2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Applications of Contact Geometry and Topology in Physics

Author : Arkady Leonidovich Kholodenko
Publisher : World Scientific
ISBN 13 : 9814412090
Total Pages : 492 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applications of Contact Geometry and Topology in Physics by : Arkady Leonidovich Kholodenko

Download or read book Applications of Contact Geometry and Topology in Physics written by Arkady Leonidovich Kholodenko and published by World Scientific. This book was released on 2013 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although contact geometry and topology is briefly discussed in V I Arnol''d''s book Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges An Introduction to Contact Topology (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph Contact Geometry and Nonlinear Differential Equations (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau-Lifshitz (L-L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L-L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L-L course some problems/exercises are formulated along the way and, again as in the L-L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L-L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.

Frank Wilczek: 50 Years Of Theoretical Physics

Author : Antti Niemi
Publisher : World Scientific
ISBN 13 : 9811255180
Total Pages : 352 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Frank Wilczek: 50 Years Of Theoretical Physics by : Antti Niemi

Download or read book Frank Wilczek: 50 Years Of Theoretical Physics written by Antti Niemi and published by World Scientific. This book was released on 2022-03-18 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frank Wilczek is one of the foremost theoretical physicists of the past half-century. He has made several fundamental contributions that shape our understanding of high energy physics, cosmology, condensed matter physics, and statistical physics. In all these fields his many discoveries continue to play a key role in shaping the direction of modern theoretical physics.Among Wilczek's major achievements is the discovery of asymptotic freedom, which predicts and explains the ultraviolet behavior of non-abelian gauge theories. The axion, which he co-discovered and named, has emerged as the prevalent candidate for explaining the origin of dark matter in the Universe. His invention of color-flavor locking explains chiral symmetry breaking in high density quantum chromodynamics. His introduction of fractional statistics and anyons are pivotal to our understanding of the fractional quantum Hall effect and form the building blocks of topological quantum computing. His invention of the time crystal concept has catalyzed extensive investigations of dynamical phases of physical systems.Frank Wilczek received the 2004 Nobel Prize in Physics for the discovery of asymptotic freedom. He is also the recipient of several Prizes and honorary awards including the MacArthur Fellowship, the Lorentz Medal of the Royal Netherlands Academy of Arts and Sciences, the Lilienfeld Prize of the American Physical Society, the High Energy and Particle Physics Prize of the European Physical Society, and the King Faisal International Prize for Science of the King Faisal Foundation. He is a member of the National Academy of Sciences, American Academy of Arts and Sciences, and the American Philosophical Society. He is also a foreign member of the Royal Netherlands Academy of Arts and Sciences and of the Royal Academy of Sciences in Sweden.He is currently the Herman Feshbach Professor of Physics at MIT Center for Theoretical Physics. He also holds a professorship at Stockholm University, is a Distinguished Professor at Arizona State University, and is the founding director of the Tsung-Dao Lee Institute and Chief Scientist of the Wilczek Quantum Center at Shanghai Jiao Tong University.This volume serves as a tribute to Frank Wilczek's legendary scientific contributions, commemorating his 70th birthday and the first 50 years of his career as a theoretical physicist. The contributors include several of his PhD students, close collaborators, and both past and present colleagues.

Roman Jackiw: 80th Birthday Festschrift

Author : Antti Niemi
Publisher : World Scientific
ISBN 13 : 9811212287
Total Pages : 336 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Roman Jackiw: 80th Birthday Festschrift by : Antti Niemi

Download or read book Roman Jackiw: 80th Birthday Festschrift written by Antti Niemi and published by World Scientific. This book was released on 2020-07-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Roman Jackiw is a theoretical physicist renowned for his many fundamental contributions and discoveries in quantum and classical field theories, ranging from high energy physics and gravitation to condensed matter and the physics of fluids. Among his major achievements is the establishment of the presence of the famous Adler-Bell-Jackiw anomalies in quantum field theory, a discovery with far-reaching implications for the structure of the Standard Model of particle physics and all attempts to go beyond it. Other important contributions, among many, that one may mention here are the topological mass term in gravity and gauge theories, and the fractionalization of fermion number and charge in the presence of topological objects.Roman Jackiw, a Professor Emeritus at the MIT Center for Theoretical Physics, is the recipient of several international awards including the Dannie Heineman Prize for Mathematical Physics and the Dirac Medal of the ICTP. He is a member of the US National Academy of Sciences and honorary doctor of Kiev, Montreal, Tours, Turin and Uppsala universities.To celebrate his 80th birthday, many students and colleagues of Professor Jackiw have come together to share interesting anecdotes of working with him as well as their latest research, some of it inspired by his work. Edited by his former students Antti Niemi and Terry Tomboulis together with his long-time friend KK Phua, this festschrift volume is a must-have collection for all theoretical physicists.

Mathematicians of the World, Unite!

Author : Guillermo Curbera
Publisher : CRC Press
ISBN 13 : 1439865124
Total Pages : 336 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematicians of the World, Unite! by : Guillermo Curbera

Download or read book Mathematicians of the World, Unite! written by Guillermo Curbera and published by CRC Press. This book was released on 2009-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int

Hamiltonian Methods in the Theory of Solitons

Author : Ludwig Faddeev
Publisher : Springer Science & Business Media
ISBN 13 : 3540699694
Total Pages : 592 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Hamiltonian Methods in the Theory of Solitons by : Ludwig Faddeev

Download or read book Hamiltonian Methods in the Theory of Solitons written by Ludwig Faddeev and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.

Lectures on Quantum Mechanics for Mathematics Students

Author : L. D. Faddeev
Publisher : American Mathematical Soc.
ISBN 13 : 082184699X
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Quantum Mechanics for Mathematics Students by : L. D. Faddeev

Download or read book Lectures on Quantum Mechanics for Mathematics Students written by L. D. Faddeev and published by American Mathematical Soc.. This book was released on 2009 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

Quantum Inverse Scattering Method and Correlation Functions

Author : V. E. Korepin
Publisher : Cambridge University Press
ISBN 13 : 9780521586467
Total Pages : 582 pages
Book Rating : 4.5/5 (864 download)

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Book Synopsis Quantum Inverse Scattering Method and Correlation Functions by : V. E. Korepin

Download or read book Quantum Inverse Scattering Method and Correlation Functions written by V. E. Korepin and published by Cambridge University Press. This book was released on 1997-03-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Go rdon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians.The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results.The book will be essential reading for all mathematical physicists working in field theory and statistical physics.

Under the Spell of Landau

Author : M. Shifman
Publisher : World Scientific
ISBN 13 : 9814436577
Total Pages : 560 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Under the Spell of Landau by : M. Shifman

Download or read book Under the Spell of Landau written by M. Shifman and published by World Scientific. This book was released on 2013 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable collection of memoirs and reviews on scientific activities of the most prominent theoretical physicists belonging to the Landau School OCo Landau, Anselm, Gribov, Zeldovich, Kirzhnits, Migdal, Ter-Martirosyan and Larkin OCo are being published in English for the first time.The main goal is to acquaint readers with the life and work of outstanding Soviet physicists who, to a large extent, shaped theoretical physics in the 1950sOCo70s. Many intriguing details have remained unknown beyond the OC Iron CurtainOCO which was dismantled only with the fall of the USSR.

Scattering Theory: Some Old and New Problems

Author : Dmitri R. Yafaev
Publisher : Springer
ISBN 13 : 3540451706
Total Pages : 185 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Scattering Theory: Some Old and New Problems by : Dmitri R. Yafaev

Download or read book Scattering Theory: Some Old and New Problems written by Dmitri R. Yafaev and published by Springer. This book was released on 2007-05-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject.