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Author: Ge Mo-lin
Publisher: World Scientific
ISBN: 9813233877
Category : Science
Languages : en
Pages : 636
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Book Description
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.
Author: Ge Mo-lin
Publisher: World Scientific
ISBN: 9813233877
Category : Science
Languages : en
Pages : 636
Get Book Here
Book Description
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.
Author: Molin Ge
Publisher: World Scientific Publishing Company
ISBN: 9814340960
Category : Science
Languages : en
Pages : 596
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Book Description
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.
Author: Harald Fritzsch
Publisher: World Scientific
ISBN: 9814335606
Category : Science
Languages : en
Pages : 730
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Book Description
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.
Author: Alejandro Kievsky
Publisher: Springer
ISBN: 9783030373573
Category : Science
Languages : en
Pages : 373
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Book Description
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)
Author: Guillermo Curbera
Publisher: CRC Press
ISBN: 1439865124
Category : Mathematics
Languages : en
Pages : 336
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Book Description
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
Author: Berkovits Nathan Jacob
Publisher: World Scientific
ISBN: 9813207868
Category : Science
Languages : en
Pages : 348
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Book Description
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
Author: Yuri Dokshitzer
Publisher: World Scientific
ISBN: 9814350192
Category : Science
Languages : en
Pages : 597
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Book Description
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.
Author: V. E. Korepin
Publisher: Cambridge University Press
ISBN: 9780521586467
Category : Mathematics
Languages : en
Pages : 582
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Book Description
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.
Author: M. Shifman
Publisher: World Scientific
ISBN: 9814436577
Category : Science
Languages : en
Pages : 560
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Book Description
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.
Author: Helge Holden
Publisher: Springer
ISBN: 3319990284
Category : Mathematics
Languages : en
Pages : 774
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Book Description
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.
