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Faddeev
Ludvig Dmitrievich Faddeev (also ''Ludwig Dmitriyevich''; russian: Лю́двиг Дми́триевич Фадде́ев; 23 March 1934 – 26 February 2017) was a Soviet and Russian mathematical physicist. He is known for the discovery of the Faddeev equations in the theory of the quantum mechanical three-body problem and for the development of path integral methods in the quantization of non-abelian gauge field theories, including the introduction (with Victor Popov) of Faddeev–Popov ghosts. He led the Leningrad School, in which he along with many of his students developed the quantum inverse scattering method for studying quantum integrable systems in one space and one time dimension. This work led to the invention of quantum groups by Drinfeld and Jimbo. Biography Faddeev was born in Leningrad to a family of mathematicians. His father, Dmitry Faddeev, was a well known algebraist, professor of Leningrad University and member of the Russian Academy of Sciences. His ...
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Faddeev–Popov Ghost
In physics, Faddeev–Popov ghosts (also called Faddeev–Popov gauge ghosts or Faddeev–Popov ghost fields) are extraneous fields which are introduced into gauge quantum field theories to maintain the consistency of the path integral formulation. They are named after Ludvig Faddeev and Victor Popov. A more general meaning of the word 'ghost' in theoretical physics is discussed in Ghost (physics). Overcounting in Feynman path integrals The necessity for Faddeev–Popov ghosts follows from the requirement that quantum field theories yield unambiguous, non-singular solutions. This is not possible in the path integral formulation when a gauge symmetry is present since there is no procedure for selecting among physically equivalent solutions related by gauge transformation. The path integrals overcount field configurations corresponding to the same physical state; the measure of the path integrals contains a factor which does not allow obtaining various results directly from ...
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Faddeev Equations
The Faddeev equations, named after their inventor Ludvig Faddeev, are equations that describe, at once, all the possible exchanges/interactions in a system of three particles in a fully quantum mechanical formulation. They can be solved iteratively. In general, Faddeev equations need as input a potential that describes the interaction between two individual particles. It is also possible to introduce a term in the equation in order to take also three-body forces into account. The Faddeev equations are the most often used non-perturbative formulations of the quantum-mechanical three-body problem. Unlike the three body problem in classical mechanics, the quantum three body problem is uniformly soluble. In nuclear physics, the off the energy shell nucleon-nucleon interaction has been studied by analyzing (n,2n) and (p,2p) reactions on deuterium targets, using the Faddeev Equations. The nucleon-nucleon interaction is expanded (approximated) as a series of separable potential ...
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Leon Takhtajan
Leon Armenovich Takhtajan ( hy, Լևոն Թախտաջյան; russian: Леон Арменович Тахтаджян, born 1 October 1950, Yerevan) is a Russian (and formerly Soviet) mathematical physicist of Armenian descent, currently a professor of mathematics at the Stony Brook University, Stony Brook, NY, and a leading researcher at the Euler International Mathematical Institute, Saint Petersburg, Russia. Takhtajan, son of the Armenian Soviet botanist Armen Takhtajan, received in 1975 his Ph.D. (Russian candidate degree) from the Steklov Institute (Leningrad Department) under Ludvig Faddeev with thesis ''Complete Integrability of the Equation u_-u_+\sin (u)=0''. He was then employed at the Steklov Institute (Leningrad Department) and in 1982 received his D.S. degree (doctor of science, 2nd degree in Russia) with thesis ''Completely integrable models of field theory and statistical mechanics''. Since 1992 he has been a professor at Stony Brook University Stony Brook U ...
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Victor Popov
Victor Nikolaevich Popov (russian: Ви́ктор Никола́евич Попо́в; 27 October 1937 – 16 April 1994) was a Russian theoretical physicist known for his contribution to the quantization of non-abelian gauge fields. His work with Ludvig Faddeev on that subject introduced the fundamental objects now known as Faddeev–Popov ghost In physics, Faddeev–Popov ghosts (also called Faddeev–Popov gauge ghosts or Faddeev–Popov ghost fields) are extraneous fields which are introduced into gauge quantum field theories to maintain the consistency of the path integral formul ...s. Popov graduated from the Department of Theoretical Physics of the Physics Faculty of Leningrad State University. Popov formed a group at LOMI in early 1965, where he remained for life. Selected works * * Konopleva N. P., Popov V. N. (1982): ''Gauge Fields''. Gordon & Breach Publishing Group. . (Originally published in Russian in 1972) References * L. FaddeevHow I came to work with ...
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Samson Shatashvili
Samson Lulievich Shatashvili (Georgian: სამსონი შათაშვილი, Russian: Самсон Лулиевич Шаташвили, born February 1960) is a theoretical and mathematical physicist who has been working at Trinity College Dublin, Ireland, since 2002. He holds the Trinity College Dublin Chair of Natural Philosophy and is the director of the Hamilton Mathematics Institute. He is also affiliated with the Institut des Hautes Études Scientifiques (IHÉS), where he held the Louis Michel Chair from 2003 to 2013 and the Israel Gelfand Chair from 2014 to 2019. Prior to moving to Trinity College, he was a professor of physics at Yale University from 1994. Background Shatashvili received his PhD in 1984 at the Steklov Institute of Mathematics in Saint Petersburg under the supervision of Ludwig Faddeev (and Vladimir Korepin). The topic of his thesis was on gauge theories and had the title "Modern Problems in Gauge Theories". In 1989 he received D.S. degr ...
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Shaw Prize
The Shaw Prize is an annual award presented by the Shaw Prize Foundation. Established in 2002 in Hong Kong, it honours "individuals who are currently active in their respective fields and who have recently achieved distinguished and significant advances, who have made outstanding contributions in academic and scientific research or applications, or who in other domains have achieved excellence. The award is dedicated to furthering societal progress, enhancing quality of life, and enriching humanity's spiritual civilization." The prize has been described as the "Nobel of the East". It was founded by Hong Kong entertainment mogul and philanthropist Run Run Shaw (邵逸夫). Award The prize consists of three awards in the fields of astronomy, life science and medicine, and mathematical sciences; it is not awarded posthumously. Nominations are submitted by invited individuals beginning each year in September. Winners are announced in the summer and receive the award at a ...
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Evgeny Sklyanin
Evgeny Konstantinovich Sklyanin (russian: Евгений Константинович Склянин, born May 24, 1955, in Leningrad, Soviet Union) is a mathematical physicist, currently a professor of mathematics at the University of York. His research is in the fields of integrable systems and quantum groups. His major contributions are in the theory of quantum integrable systems, separation of variables, special functions. Biography He graduated from the Department of Physics, Leningrad State University (USSR) in 1978 and earned PhD (Candidate) in 1980 and DrSci (Habilitation) degree in 1989, both at Steklov Mathematical Institute, St. Petersburg. He then held various research positions at Steklov until 2001, when he moved to the University of York. He provided, via particular examples, ideas that led to the discovery of quantum groups and Yangians. He pioneered the investigation of quantum integrable systems with boundaries. He developed the method of separation of varia ...
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Vladimir Korepin
Vladimir E. Korepin (born 1951) is a professor at the C. N. Yang Institute of Theoretical Physics of the Stony Brook University. Korepin made research contributions in several areas of mathematics and physics. Educational background Korepin completed his undergraduate study at Saint Petersburg State University, graduating with a diploma in theoretical physics in 1974. In that same year he was employed by the Mathematical Institute of Academy of Sciences. He worked there until 1989, obtaining his PhD in 1977 under the supervision of Ludwig Faddeev. At the same institution he completed his postdoctoral studies. In 1985, he received a doctor of sciences degree in mathematical physics. Contributions to physics Korepin has made contributions to several fields of theoretical physics. Although he is best known for his involvement in condensed matter physics and mathematical physics, he significantly contributed to quantum gravity as well. In recent years, his work has focused on a ...
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Mathematical Physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics (also known as physical mathematics). Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. Classical mechanics The rigorous, abstract and advanced reformulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. Both formulations are embodied in analytical mechanics and lead to understanding the deep interplay of the notions of symmetry (physics), symmetry and conservation law, con ...
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Lomonosov Gold Medal
The Lomonosov Gold Medal (russian: Большая золотая медаль имени М. В. Ломоносова ''Bol'shaya zolotaya medal' imeni M. V. Lomonosova''), named after Russian scientist and polymath Mikhail Lomonosov, is awarded each year since 1959 for outstanding achievements in the natural sciences and the humanities by the USSR Academy of Sciences and later the Russian Academy of Sciences (RAS). Since 1967, two medals are awarded annually: one to a Russian and one to a foreign scientist. It is the Academy's highest accolade. Recipients of Lomonosov Gold Medal __NOTOC__ 1959 * Pyotr Leonidovich Kapitsa: cumulatively, for works in physics of low temperatures. 1961 * Aleksandr Nikolaevich Nesmeyanov: accumulatively for works in chemistry. 1963 * Sin-Itiro Tomonaga (member of the Japanese academy of Sciences, president of the Scientific Council of Japan): for substantial scientific contributions to the development of physics. * Hideki Yukawa (member of the ...
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Max Planck Medal
The Max Planck medal is the highest award of the German Physical Society , the world's largest organization of physicists, for extraordinary achievements in theoretical physics. The prize has been awarded annually since 1929, with few exceptions, and usually to a single person. The winner is awarded with a gold medal and hand-written parchment. In 1943 it was not possible to manufacture the gold medal because the Berlin foundry was hit by a bomb. The board of directors of the German Physical Society decided to manufacture the medals in a substitute metal and to deliver the gold medals later. The highest award of the German Physical Society for outstanding results in experimental physics is the Stern–Gerlach Medal. List of recipients *2023 Rashid A. Sunyaev *2022 Annette Zippelius *2021 Alexander Markovich Polyakov *2020 Andrzej Buras *2019 Detlef Lohse *2018 Juan Ignacio Cirac *2017 Herbert Spohn *2016 Herbert Wagner *2015 Viatcheslav Mukhanov *2014 David Ruelle *2013 ...
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Gauge Theory
In physics, a gauge theory is a type of field theory in which the Lagrangian (and hence the dynamics of the system itself) does not change (is invariant) under local transformations according to certain smooth families of operations (Lie groups). The term ''gauge'' refers to any specific mathematical formalism to regulate redundant degrees of freedom in the Lagrangian of a physical system. The transformations between possible gauges, called ''gauge transformations'', form a Lie group—referred to as the ''symmetry group'' or the ''gauge group'' of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises a corresponding field (usually a vector field) called the ''gauge field''. Gauge fields are included in the Lagrangian to ensure its invariance under the local group transformations (called ''gauge invariance''). When such a theory is quantized, the quanta of the gauge fields are called '' gauge boson ...
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