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Lev Landau
Lev Davidovich Landau (russian: Лев Дави́дович Ланда́у; 22 January 1908 – 1 April 1968) was a Soviet-Azerbaijani physicist of Jewish descent who made fundamental contributions to many areas of theoretical physics. His accomplishments include the independent co-discovery of the density matrix method in quantum mechanics (alongside John von Neumann), the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second-order phase transitions, the Ginzburg–Landau theory of superconductivity, the theory of Fermi liquids, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, the two-component theory of neutrinos, and Landau's equations for ''S'' matrix singularities. He received the 1962 Nobel Prize in Physics for his development of a mathematical theory of superfluidity that accounts for the properties of liquid helium II at a temperature below (). Life Early years Landau was ...
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Baku
Baku (, ; az, Bakı ) is the capital and largest city of Azerbaijan, as well as the largest city on the Caspian Sea and of the Caucasus region. Baku is located below sea level, which makes it the lowest lying national capital in the world and also the largest city in the world located below sea level. Baku lies on the southern shore of the Absheron Peninsula, alongside the Bay of Baku. Baku's urban population was estimated at two million people as of 2009. Baku is the primate city of Azerbaijan—it is the sole metropolis in the country, and about 25% of all inhabitants of the country live in Baku's metropolitan area. Baku is divided into twelve administrative raions and 48 townships. Among these are the townships on the islands of the Baku Archipelago, and the town of Oil Rocks built on stilts in the Caspian Sea, away from Baku. The Inner City of Baku, along with the Shirvanshah's Palace and Maiden Tower, were inscribed as a UNESCO World Heritage Site in 2000. ...
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Diploma
A diploma is a document awarded by an educational institution (such as a college or university) testifying the recipient has graduated by successfully completing their courses of studies. Historically, it has also referred to a charter or official document of diplomacy. The diploma (as a document certifying a qualification) may also be called a testamur, Latin for "we testify" or "certify" (testari), so called from the word with which the certificate begins; this is commonly used in Australia to refer to the document certifying the award of a degree. Alternatively, this document can simply be referred to as a degree certificate or graduation certificate, or as a parchment. The certificate that a Nobel laureate receives is also called a diploma. The term diploma is also used in some historical contexts, to refer to documents signed by a King affirming a grant or tenure of specified land and its conditions (see Anglo-Saxon Charters and Diplomatics). Usage Australia In Aust ...
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Diamagnetism
Diamagnetic materials are repelled by a magnetic field; an applied magnetic field creates an induced magnetic field in them in the opposite direction, causing a repulsive force. In contrast, paramagnetic and ferromagnetic materials are attracted by a magnetic field. Diamagnetism is a quantum mechanical effect that occurs in all materials; when it is the only contribution to the magnetism, the material is called diamagnetic. In paramagnetic and ferromagnetic substances, the weak diamagnetic force is overcome by the attractive force of magnetic dipoles in the material. The magnetic permeability of diamagnetic materials is less than the permeability of vacuum, ''μ''0. In most materials, diamagnetism is a weak effect which can be detected only by sensitive laboratory instruments, but a superconductor acts as a strong diamagnet because it repels a magnetic field entirely from its interior. Diamagnetism was first discovered when Anton Brugmans observed in 1778 that bismuth w ...
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Landau Pole
In physics, the Landau pole (or the Moscow zero, or the Landau ghost) is the momentum (or energy) scale at which the coupling constant (interaction strength) of a quantum field theory becomes infinite. Such a possibility was pointed out by the physicist Lev Landau and his colleagues. The fact that couplings depend on the momentum (or length) scale is the central idea behind the renormalization group. Landau poles appear in theories that are not asymptotically free, such as quantum electrodynamics (QED) or theory—a scalar field with a quartic interaction—such as may describe the Higgs boson. In these theories, the renormalized coupling constant grows with energy. A Landau pole appears when the coupling becomes infinite at a finite energy scale. In a theory purporting to be complete, this could be considered a mathematical inconsistency. A possible solution is that the renormalized charge could go to zero as the cut-off is removed, meaning that the charge is completely scree ...
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Landau Gauge
In the physics of gauge theories, gauge fixing (also called choosing a gauge) denotes a mathematical procedure for coping with redundant degrees of freedom in field variables. By definition, a gauge theory represents each physically distinct configuration of the system as an equivalence class of detailed local field configurations. Any two detailed configurations in the same equivalence class are related by a gauge transformation, equivalent to a shear along unphysical axes in configuration space. Most of the quantitative physical predictions of a gauge theory can only be obtained under a coherent prescription for suppressing or ignoring these unphysical degrees of freedom. Although the unphysical axes in the space of detailed configurations are a fundamental property of the physical model, there is no special set of directions "perpendicular" to them. Hence there is an enormous amount of freedom involved in taking a "cross section" representing each physical configuration b ...
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Landau Distribution
In probability theory, the Landau distribution is a probability distribution named after Lev Landau. Because of the distribution's "fat" tail, the moments of the distribution, like mean or variance, are undefined. The distribution is a particular case of stable distribution. Definition The probability density function, as written originally by Landau, is defined by the complex integral: :p(x) = \frac \int_^ e^\, ds , where ''a'' is an arbitrary positive real number, meaning that the integration path can be any parallel to the imaginary axis, intersecting the real positive semi-axis, and \log refers to the natural logarithm. In other words it is the Laplace transform of the function s^s. The following real integral is equivalent to the above: :p(x) = \frac \int_0^\infty e^ \sin(\pi t)\, dt. The full family of Landau distributions is obtained by extending the original distribution to a location-scale family of stable distributions with parameters \alpha=1 and \beta=1, with ch ...
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Landau Damping
In physics, Landau damping, named after its discoverer,Landau, L. "On the vibration of the electronic plasma". ''JETP'' 16 (1946), 574. English translation in ''J. Phys. (USSR)'' 10 (1946), 25. Reproduced in Collected papers of L.D. Landau, edited and with an introduction by D. ter Haar, Pergamon Press, 1965, pp. 445–460; and in Men of Physics: L.D. Landau, Vol. 2, Pergamon Press, D. ter Haar, ed. (1965). Soviet physicist Lev Davidovich Landau (1908–68), is the effect of damping ( exponential decrease as a function of time) of longitudinal space charge waves in plasma or a similar environment.Chen, Francis F. ''Introduction to Plasma Physics and Controlled Fusion''. Second Ed., 1984 Plenum Press, New York. This phenomenon prevents an instability from developing, and creates a region of stability in the parameter space. It was later argued by Donald Lynden-Bell that a similar phenomenon was occurring in galactic dynamics, where the gas of electrons interacting by electrosta ...
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Evgeny Lifshitz
Evgeny Mikhailovich Lifshitz (russian: Евге́ний Миха́йлович Ли́фшиц; February 21, 1915, Kharkiv, Russian Empire – October 29, 1985, Moscow, Russian SFSR) was a leading Soviet physicist and brother of the physicist Ilya Lifshitz. Work Born into a Ukrainian Jewish family in Kharkov, Kharkov Governorate, Russian Empire (now Kharkiv, Ukraine). Lifshitz is well known in the field of general relativity for coauthoring the BKL conjecture concerning the nature of a ''generic curvature singularity''. , this is widely regarded as one of the most important open problems in the subject of classical gravitation. With Lev Landau, Lifshitz co-authored ''Course of Theoretical Physics The ''Course of Theoretical Physics'' is a ten-volume series of books covering theoretical physics that was initiated by Lev Landau and written in collaboration with his student Evgeny Lifshitz starting in the late 1930s. It is said that Lan ...'', an ambitious series of ...
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Isaak Markovich Khalatnikov
Isaak Markovych Khalatnykov ( uk, Ісаа́к Ма́ркович Хала́тников; 17 October 1919 – 9 January 2021) was a leading Soviet theoretical physicist who has made significant contributions to many areas of theoretical physics, including general relativity, quantum field theory, as well as the theory of quantum liquids. He is well known for his role in developing the Landau-Khalatnikov theory of superfluidity and the so-called BKL conjecture in the general theory of relativity. Life and career Isaak Khalatnikov was born into a Ukrainian Jewish family in Yekaterinoslav (now Dnipro, Ukraine) and graduated from Dnipropetrovsk State University with a degree in Physics in 1941. He had been a member of the Communist Party since 1944. He earned his doctorate in 1952. His wife Valentina was the daughter of Revolutionary hero Nikolay Shchors. Much of Khalatnikov's research was a collaboration with, or inspired by, Lev Landau, including the ''Landau-Khalatnikov theor ...
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Lev Gor'kov
Lev Petrovich Gor'kov (russian: Лев Петро́вич Горько́в; 14 June 1929 – 28 December 2016) was a Russian-American research physicist internationally known for his pioneering work in the field of superconductivity. He was particularly famous for developing microscopic foundations of the Ginzburg–Landau theory of superconductivity (Vitaly Ginzburg was awarded the 2003 Nobel prize in physics for developing, together with Lev Landau, that phenomenological theory). Gor'kov was a professor of physics at Florida State University in Tallahassee, Florida, and a program director in Condensed Matter at the National High Magnetic Field Laboratory. He was one of the Magnet Lab's founding scientists. Biography Gor'kov was born in Moscow and received his academic training when he was at Moscow State University, after which he entered Kapitza Institute for Physical Problems, and eventually joined the Landau Institute for Theoretical Physics. In 1966, he was awarded the L ...
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Igor Ekhielevich Dzyaloshinskii
Igor Ekhielevich Dzyaloshinskii, (Игорь Ехиельевич Дзялошинский, surname sometimes transliterated as Dzyaloshinsky, Dzyaloshinski, Dzyaloshinskiĭ, or Dzyaloshinkiy, 1 February 1931, Moscow – 14 July 2021) was a Russian theoretical physicist, known for his research on "magnetism, multiferroics, one-dimensional conductors, liquid crystals, van der Waals forces, and applications of methods of quantum field theory". In particular he is known for the Dzyaloshinskii-Moriya interaction. Biography He was born in Moscow to a Jewish family. His father, Yechiel Moiseevich Dzyaloshinskii (1897–1942), a native of Kalush, Ukraine, died in captivity in early 1942. The first in his family to attend a university, Igor E. Dzyaloshinskii graduated in 1953 from the Faculty of Physics of Moscow State University. Dzyaloshinski pursued graduate study at the Institute of Physics of the Russian Academy of Sciences, where he received in 1957 his Russian Candidate of Scienc ...
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Aleksandr Akhiezer
Aleksandr Ilyich Akhiezer ( ua, Олекса́ндр Іллі́ч Ахіє́зер, russian: Алекса́ндр Ильи́ч Ахие́зер; October 18, 1911 – May 4, 2000) was a Soviet and Ukrainian theoretical physicist, known for contributions to numerous branches of theoretical physics, including quantum electrodynamics, nuclear physics, solid state physics, quantum field theory, and the theory of plasma. He was the brother of the mathematician Naum Akhiezer. Biography Akhiezer was born in Cherykaw, Russian Empire in what is now Mahilyow Voblast, Belarus. He studied radio engineering at Kyiv Polytechnic Institute in 1929–34. From 1934, he worked at the Ukrainian Institute of Physics and Technology in Kharkiv. With Isaak Pomeranchuk and under the supervision of Lev Landau, he studied light-light scattering and was awarded a Ph.D. in 1936. When Landau left Kharkiv in 1938, Akhiezer became head of the department of Theoretical Physics. A treatise on wave absorptio ...
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