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Lev Landau



 
 
Lev Davidovich Landau (Russian language
Russian language

Russian is the most geographically widespread language of Eurasia, the most widely spoken of the Slavic languages, and the largest native language in Europe....
: ??´? ????´????? ?????´?) (January 22, 1908 – April 1, 1968) was a prominent Soviet
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
 physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 who made fundamental contributions to many areas of theoretical physics
Theoretical physics

Theoretical physics employs mathematical models and abstractions of physics in an attempt to explain experimental data taken of the natural world....
. His accomplishments include the co-discovery of the density matrix
Density matrix

In quantum mechanics, a density matrix is a self-adjoint positive-semidefinite matrix, , of trace class one, that describes the statistical state of a quantum system....
 method in quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
, the quantum mechanical theory of diamagnetism
Diamagnetism

Diamagnetism is the property of an object which causes it to create a magnetic field in opposition of an externally applied magnetic field, thus causing a repulsive effect....
, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory
Ginzburg-Landau theory

In physics, Ginzburg?Landau theory is a mathematical theory used to model superconductivity. It does not purport to explain the microscopic mechanisms giving rise to superconductivity....
 of superconductivity
Superconductivity

Superconductivity is a phenomenon occurring in certain materials generally at very low temperatures, characterized by exactly zero electrical resistance and the exclusion of the interior magnetic field ....
, the explanation of Landau damping
Landau damping

In physics, Landau damping, named after its discoverer, the eminent Soviet physicist Lev Davidovich Landau, is the effect of damping of plasma oscillation in Plasma or a similar environment....
 in plasma physics, the Landau pole
Landau pole

In physics, Landau pole is the energy scale where a coupling constant of a quantum field theory becomes infinity. Such a possibility was pointed out by the physicist Lev Davidovich Landau....
 in quantum electrodynamics
Quantum electrodynamics

Quantum electrodynamics is a relativity theory quantum field theory of electrodynamics. QED was developed by a number of physicists, beginning in the late 1920s....
, and the two-component theory of neutrino
Neutrino

Neutrinos are elementary particles that travel close to the speed of light, lack an electric charge, are able to pass through ordinary matter almost undisturbed and are thus extremely difficult to detect....
s.






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Lev Davidovich Landau (Russian language
Russian language

Russian is the most geographically widespread language of Eurasia, the most widely spoken of the Slavic languages, and the largest native language in Europe....
: ??´? ????´????? ?????´?) (January 22, 1908 – April 1, 1968) was a prominent Soviet
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
 physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 who made fundamental contributions to many areas of theoretical physics
Theoretical physics

Theoretical physics employs mathematical models and abstractions of physics in an attempt to explain experimental data taken of the natural world....
. His accomplishments include the co-discovery of the density matrix
Density matrix

In quantum mechanics, a density matrix is a self-adjoint positive-semidefinite matrix, , of trace class one, that describes the statistical state of a quantum system....
 method in quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
, the quantum mechanical theory of diamagnetism
Diamagnetism

Diamagnetism is the property of an object which causes it to create a magnetic field in opposition of an externally applied magnetic field, thus causing a repulsive effect....
, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory
Ginzburg-Landau theory

In physics, Ginzburg?Landau theory is a mathematical theory used to model superconductivity. It does not purport to explain the microscopic mechanisms giving rise to superconductivity....
 of superconductivity
Superconductivity

Superconductivity is a phenomenon occurring in certain materials generally at very low temperatures, characterized by exactly zero electrical resistance and the exclusion of the interior magnetic field ....
, the explanation of Landau damping
Landau damping

In physics, Landau damping, named after its discoverer, the eminent Soviet physicist Lev Davidovich Landau, is the effect of damping of plasma oscillation in Plasma or a similar environment....
 in plasma physics, the Landau pole
Landau pole

In physics, Landau pole is the energy scale where a coupling constant of a quantum field theory becomes infinity. Such a possibility was pointed out by the physicist Lev Davidovich Landau....
 in quantum electrodynamics
Quantum electrodynamics

Quantum electrodynamics is a relativity theory quantum field theory of electrodynamics. QED was developed by a number of physicists, beginning in the late 1920s....
, and the two-component theory of neutrino
Neutrino

Neutrinos are elementary particles that travel close to the speed of light, lack an electric charge, are able to pass through ordinary matter almost undisturbed and are thus extremely difficult to detect....
s. He received the 1962 Nobel Prize in Physics
Nobel Prize in Physics

The Nobel Prize in Physics is awarded once a year by the Royal Swedish Academy of Sciences. It is one of the five Nobel Prizes established by the will of Alfred Nobel in 1895 and awarded since 1901; the others are the Nobel Prize in chemistry, Nobel Prize in literature, Nobel Peace Prize, and Nobel Prize in physiology or medicine....
 for his development of a mathematical theory of superfluidity that accounts for the properties of liquid helium
Liquid helium

Helium exists in liquid form only at very low temperatures. The boiling point and critical point depend on the isotope of the helium; see the table below for values....
 II at a temperature below 2.17 K (-270.98 °C).

Biography


Early years

Landau was born January 22, 1908 into a Jew
Jew

A Jew is a member of the Jewish people, an ethnoreligious group that traces its ancestry to the Israelites or Hebrews of the Ancient Near East....
ish family in Baku
Baku

Baku , sometimes known as Baqy, Baky, Baki or Bak?, is the capital, the largest city, and the largest port of Azerbaijan....
, Azerbaijan
Azerbaijan

Azerbaijan , officially the Republic of Azerbaijan , is the largest and most populous country in the South Caucasus, located partially in Eastern Europe and partially in Western Asia....
. Recognized very early as a child prodigy
Child prodigy

A child prodigy is someone who at an early age masters one or more skills at an adult level. One heuristic for classifying prodigies is: a prodigy is a child, typically younger than 13 years old, who is performing at the level of a highly trained adult in a very demanding field of endeavor....
 in mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, Landau was quoted as saying in later life that he scarcely remembered a time when he was not familiar with calculus
Calculus

Calculus is a branch of mathematics that includes the study of limit , derivatives, integrals, and infinite series, and constitutes a major part of modern university education....
. Landau graduated at 13 from gymnasium
Gymnasium (school)

A gymnasium is a type of school providing secondary education in some parts of Europe, comparable to English Grammar schools in the United Kingdoms or sixth form colleges and U.S....
. His parents regarded him too young to attend university, so for a year he attended the Baku Economical Technicum. In 1922, at age 14, he matriculated at Baku State University
Baku State University

Baku State University is a public university located in Baku, Azerbaijan. Founded in 1919 by a Parliament act of the Azerbaijan Democratic Republic, the University opened with departments of history and philology; physics and mathematics; law and medicine with an enrollment of 1094....
, studying in two departments simultaneously: Physico-Mathematical and Chemical. Subsequently he ceased studying chemistry, but remained interested in the field throughout his life.

In 1924, he moved to the main centre of Soviet physics at the time: the Physics Department of Leningrad University
Saint Petersburg State University

Saint Petersburg State University is a Russian federal state-owned university based in Saint Petersburg and one of the oldest, largest and most prestigious universities in the country....
. In Leningrad
Saint Petersburg

Saint Petersburg is a types of inhabited localities in Russia and a federal subjects of Russia of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea....
, he first made the acquaintance of genuine theoretical physics and dedicated himself fully to its study, graduating in 1927. Landau subsequently enrolled for post-graduate study at the Leningrad Physico-Technical Institute
Ioffe Physico-Technical Institute

Ioffe Physical Technical Institute is one of Russia's largest research centers specialized in physics and technology. The institute was established in 1918 in Petrograd and run for several decades by Abram Fedorovich Ioffe....
, and at 21, received a doctorate. Landau got his first chance to travel abroad in 1929, on a Soviet government traveling fellowship supplemented by a Rockefeller
Rockefeller Foundation

The Rockefeller Foundation is a prominent philanthropic organization and private foundation based at 420 Fifth Avenue, New York City. The preeminent institution established by the six-generation Rockefeller family, it was founded by John D....
 fellowship. After brief stays in Göttingen
Göttingen

G?ttingen is a college town in Lower Saxony, Germany. It is the Capital of the district of G?ttingen . The Leine river runs through the town. In 2006 the population was 129,686....
 and Leipzig
Leipzig

Leipzig is, with a population of over 511,252, the largest city in the States of Germany of Saxony, Germany....
, he went to Copenhagen
Copenhagen

Copenhagen is the capital and largest city of Denmark, with an urban area with a population of 1,153,615 . Copenhagen is situated on the Islands of Zealand and Amager....
 to work in Niels Bohr's Institute for Theoretical Physics
Niels Bohr Institute

The Niels Bohr Institute is a research institute at the University of Copenhagen. The research of the institute spans astronomy, geophysics, nanotechnology, particle physics, quantum mechanics and biophysics....
. After the visit, Landau always considered himself a pupil of Bohr
Niels Bohr

Niels Henrik David Bohr was a Denmark physicist who made fundamental contributions to understanding atomic structure and quantum mechanics, for which he received the Nobel Prize in Physics in 1922....
's, and his attitude to physics was greatly influenced by Bohr's example. After his stay in Copenhagen he visited Cambridge
Cambridge

The city status in the United Kingdom of Cambridge is a College town and the administrative centre of the county of Cambridgeshire, England. It lies about 50 miles north of London....
 and Zürich
Zürich

Z?rich is the largest city in Switzerland and the capital of the canton of Z?rich. The city is Switzerland's main commercial and cultural centre and sometimes called the Cultural Capital of Switzerland, the political capital of Switzerland being Berne....
 before returning to the Soviet Union. In the period of 1932-1937 he headed the department of theoretical physics at Kharkov Mechanics and Machine Building Institute.

The Landau school

Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in the Soviet Union centered at Kharkov (now Kharkiv, Ukraine), sometimes referred to as the "Landau school". He was the head of the Theoretical Division at the Institute for Physical Problems
Institute for Physical Problems

P.L. Kapitza Institute for Physical Problems of the Russian Academy of Sciences. The Institute was founded in 1934. The founder of the Institute, Pyotr Leonidovich Kapitsa served as its head for many years....
 from 1937 until 1962 when, as a result of a car accident
Car accident

A car accident is a road traffic incident that usually involves one road vehicle collision with another vehicle or other road user, animal, or a stationary roadside object, and may result in injury, property damage, and possibly death....
, he suffered injuries from which he was never able fully to recover. His students include Lev Pitaevskii, Alexei Abrikosov
Alexei Alexeyevich Abrikosov

Alexei Alexeyevich Abrikosov is a Russian theoretical physics whose main contributions are in the field of condensed matter physics. He was awarded the Nobel Prize in Physics in 2003....
, Arkady Levanyuk, Evgeny Lifshitz
Evgeny Lifshitz

Evgeny Mikhailovich Lifshitz was a leading Soviet physicist from a Jewish origin and the brotherof Ilya Mikhailovich Lifshitz.Lifshitz is well known in general relativity for coauthoring the BKL singularity concerning the nature of a generic curvature singularity....
, Lev Gor'kov
Lev Gor'kov

Lev Gor'kov is an United States research physicist from Russia who is internationally known for his pioneering work in the field of superconductivity....
, Isaak Khalatnikov
Isaak Markovich Khalatnikov

Isaak Markovich Khalatnikov is a leading Soviet physicist, well known for his role in developing the BKL singularity in general relativity.Khalatnikov was born in Dnipropetrovsk and graduated from Dnipropetrovsk State University with a degree in Physics in 1941....
, Isaak Pomeranchuk
Isaak Pomeranchuk

Isaak Yakovlevich Pomeranchuk was a Poles Soviet physicist, who was the founder and first head of the theory division at ITEP. The particle pomeron is named in his honor....
 and Boris Ioffe.

Landau developed a comprehensive exam called the "Theoretical Minimum" which students were expected to pass before admission to the school. The exam covered all aspects of theoretical physics, and between 1943 and 1961 only 43 candidates passed. In this way his students became proper physicists, rather than narrow specialists.

It was also in Kharkov that, with his friend and former student, E.M. Lifshitz
Evgeny Lifshitz

Evgeny Mikhailovich Lifshitz was a leading Soviet physicist from a Jewish origin and the brotherof Ilya Mikhailovich Lifshitz.Lifshitz is well known in general relativity for coauthoring the BKL singularity concerning the nature of a generic curvature singularity....
, he began writing the well-known Course of Theoretical Physics, ten volumes that together span the whole of the subject and are still widely used as graduate
Graduate school

A graduate school is a school that awards advanced academic degrees, such as Doctorate with the general requirement that students must have earned a previous Undergraduate education degree....
-level physics texts.

Great Purge

During the Great Purge
Great Purge

Great Purge was a series of campaigns of political repression and persecution in the Soviet Union orchestrated by Joseph Stalin in 1936-1938. Also described as a "Soviet holocaust" by several authors, it involved the purge of the Communist Party of the Soviet Union, repression of kulaks, Red Army leadership, and the persecution of unaffiliat...
, Landau was investigated within the UPTI Affair
UPTI Affair

The UPTI Affair was a fabricated criminal case against a number of scientists of the Ukrainian Physics and Technology Institute by the GUGB during 1935?37, at the height of the Great Purge....
 in Kharkov, but he managed to leave for Moscow
Moscow

Moscow is the capital and the largest types of inhabited localities in Russia of the Russian Federation. It is also the largest European cities and metropolitan areas, with the Moscow metropolitan area ranking among the largest urban areas in the world....
. Still, he was arrested on April 27, 1938 and held in an NKVD
NKVD

The NKVD or People's Commissariat for Internal Affairs was the leading secret police organization of the Soviet Union that was responsible for Soviet political repressions during the Stalinism era....
 prison
Prison

A prison, penitentiary, or correctional facility is a place in which individuals are physically confined or internment and usually deprived of a range of personal Freedom ....
 until his release on April 29, 1939 after his colleague Pyotr Kapitsa
Pyotr Kapitsa

Pyotr Leonidovich Kapitsa was an innovative Soviet/Russians physicist and Nobel laureate, who made important discoveries in a number of different areas....
, an experimental
Experimental physics

Within the field of physics, experimental physics is the category of disciplines and sub-disciplines concerned with the observation of physical phenomena in order to gather data about the universe....
 low-temperature physicist, wrote a letter to Stalin, personally vouching for Landau's behavior.

Death and legacy

On January 7, 1962, Landau's car collided with an oncoming truck. He was severely injured and spent two months in a coma
Coma

In medicine, a coma is a profound state of unconsciousness. A comatose person cannot be awakened, fails to respond normally to pain or light, does not have sleep-wake cycles, and does not take voluntary actions....
. Landau never fully recovered, and was much less creative than before the accident. His death on April 1, 1968 was also a consequence of the injuries from the accident.

In 1965 former students and coworkers of Landau founded the Landau Institute for Theoretical Physics
Landau Institute for Theoretical Physics

The L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences is a research institution, located in the small town of Chernogolovka near Moscow....
, located in the small town of Chernogolovka
Chernogolovka

Chernogolovka is a types of settlements in Russia in Moscow Oblast, Russia, located 43 km northeast from Moscow border. Town status since 2001....
 near Moscow
Moscow

Moscow is the capital and the largest types of inhabited localities in Russia of the Russian Federation. It is also the largest European cities and metropolitan areas, with the Moscow metropolitan area ranking among the largest urban areas in the world....
, and headed for the following three decades by Isaak Markovich Khalatnikov
Isaak Markovich Khalatnikov

Isaak Markovich Khalatnikov is a leading Soviet physicist, well known for his role in developing the BKL singularity in general relativity.Khalatnikov was born in Dnipropetrovsk and graduated from Dnipropetrovsk State University with a degree in Physics in 1941....
.

The minor planet
Minor planet

An asteroid group or minor planet group is a population of minor planets that have a share broadly similar orbits. Members are generally unrelated to each other, unlike in an asteroid family, which often results from the break-up of a single asteroid....
 2142 Landau
2142 Landau

2142 Landau is a Main-belt Asteroid discovered on April 3, 1972 by L. I. Chernykh at the Crimean Astrophysical Observatory. It is named for Soviet physicist Lev Landau....
 discovered in 1972 by Soviet
Soviet Union

The Union of Soviet Socialist Republics was a Constitution of the Soviet Union socialist state that existed in Eurasia from 1922 to 1991.The name is a translation of the , romanization of Russian Soyuz Sovetskikh Sotsialisticheskikh Respublik, abbreviated ????, SSSR....
 astronomer Lyudmila Chernykh
Lyudmila Chernykh

Lyudmila Ivanovna Chernykh is a Russian, Ukraine and Soviet Union astronomer.In 1959 she graduated from Irkutsk State Pedagogical University....
 is named in his honor. The lunar crater Landau
Landau (crater)

Landau is a large moon Impact crater that is located in the northern hemisphere on the Far side of the Moon. It was named after physicist Lev Landau....
 is named in his honor.

Landau's list

Landau kept a list of names of physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
s which he ranked on a logarithmic scale of productivity ranging from 0 to 5. The highest ranking, a 0, was assigned to Isaac Newton
Isaac Newton

Sir Isaac Newton, Fellow of the Royal Society was an English people physicist, mathematician, Astronomy, Natural philosophy, Alchemy, and Theology and one of the the 100 in human history....
, and Albert Einstein
Albert Einstein

Albert Einstein was a Germany-born theoretical physics. He is best known for his theory of relativity and specifically mass?energy equivalence, expressed by the equation E = mc2....
 received a 0.5. A rank of 1 was awarded to Niels Bohr
Niels Bohr

Niels Henrik David Bohr was a Denmark physicist who made fundamental contributions to understanding atomic structure and quantum mechanics, for which he received the Nobel Prize in Physics in 1922....
, Werner Heisenberg
Werner Heisenberg

Werner Heisenberg was a German Theoretical physics who made foundational contributions to quantum mechanics and is best known for asserting the uncertainty principle of quantum theory....
, Paul Dirac
Paul Dirac

Paul Adrien Maurice Dirac, Order of Merit , Royal Society was a United Kingdom theoretical physicist. Dirac made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics....
 and Erwin Schrödinger
Erwin Schrödinger

Erwin Rudolf Josef Alexander Schr?dinger was an Austrian theoretical physicist who achieved fame for his contributions to quantum mechanics, especially the Schr?dinger equation, for which he received the Nobel Prize in 1933....
, the founding fathers of quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
, as well as Satyendra Nath Bose
Satyendra Nath Bose

Satyendra Nath Bose , Fellow of the Royal Society, was an Indian physicist from the state of West Bengal, specializing in mathematical physics....
 and Eugene Wigner. Landau ranked himself as a 2.5 but later promoted himself to a 2. David Mermin
David Mermin

In solid-state physics, N. David Mermin is a polymathic physicist at Cornell University best known for the eponymous Mermin-Wagner theorem and his application of the term "Boojum " to superfluidity, and for the quote "q:David Mermin"...
, writing about Landau, referred to the scale, and ranked himself in the fourth division, writing My Life with Landau: Homage of a 4.5 to a 2. In spite of his low self-regard, he is widely recognized as one of the greatest physicists of the twentieth century.

Works


Landau and Lifshitz Course of Theoretical Physics

  • vol. 1: "Mechanics". L. D. Landau, E. M. Lifshitz, (3rd ed. ISBN 0750628960)
  • vol. 2: "The Classical Theory of Fields". L. D. Landau, E. M. Lifshitz, (4th ed. ISBN 0750627689)
  • vol. 3: "Quantum Mechanics: Non-Relativistic Theory". L. D. Landau, E. M. Lifshitz, (3rd ed. ISBN 0750635398)
  • vol. 4: "Quantum Electrodynamics". V. B. Berestetsky, E. M. Lifshitz and L. P. Pitaevskii, (2nd ed. ISBN 0750633719)
  • vol. 5: "Statistical Physics Pt. 1". L. D. Landau, E. M. Lifshitz, (3rd ed. ISBN 0750633727)
  • vol. 6: "Fluid Mechanics". L. D. Landau, E. M. Lifshitz, (2nd ed. ISBN 0750627670)
  • vol. 7: "Theory of Elasticity". L. D. Landau, E. M. Lifshitz, (3rd ed. ISBN 075062633X)
  • vol. 8: "Electrodynamics of Continuous Media". L. D. Landau, E. M. Lifshitz and L. P. Pitaevskii, (2nd 0750626348)
  • vol. 9: "Statistical Physics Pt. 2". E. M. Lifshitz, L. P. Pitaevskii, (1st ed. ISBN 0750626364)
  • vol. 10: "Physical Kinetics". E. M. Lifshitz, L. P. Pitaevskii, (1st ed. ISBN 0080206417)


Other books

  • "General Physics, Mechanics and Molecular Physics". A. I. Akhiezer, E. M. Lifshitz (ISBN 0080091067)


Some books about Landau

  • Dorozynski, Alexander (1965). The Man They Wouldn't Let Die. (After Landau's 1962 car accident, the physics community around him rallied to attempt to save his life. They managed to prolong his life until 1968.)
  • Landau-Drobantseva, Kora: (1999. In original Russian).
  • I.M. Khalatnikov (editor): Landau. The physicist and the man. Recollections of L.D. Landau Translated from the Russian by J.B. Sykes. (Pergamon Press, 1989) ISBN 0-08-036383-0
  • Janouch, Frantisek: Lev D. Landau: His life and work (CERN, 1979) ASIN B0007AUCL0
  • Kojevnikov, Alexei B.: Stalin's Great Science: The Times and Adventures of Soviet Physicists, History of Modern Physical Sciences Series. (Imperial College Press, 2004) ISBN 1-86094-420-5


See also

  • Landau-Hopf theory of turbulence
    Landau-Hopf theory of turbulence

    In physics, the Landau-Hopf theory of turbulence, named for Lev Landau and Eberhard Hopf, was until the mid 1970s the accepted theory of how a fluid flow becomes turbulence....
  • Landau-Lifshitz-Gilbert equation
  • Landau-Lifshitz model
  • Landau (crater)
    Landau (crater)

    Landau is a large moon Impact crater that is located in the northern hemisphere on the Far side of the Moon. It was named after physicist Lev Landau....
  • Landau theory
    Landau theory

    Landau theory in physics was introduced by Lev Davidovich Landau in an attempt to formulate a general theory of second-order phase transitions. He was motivated to suggest that the free energy of any system should obey two conditions: that the free energy is analytic, and that it obeys the symmetry of the Hamiltonian mechanics....
     of second order phase transitions
  • Ginzburg-Landau theory
    Ginzburg-Landau theory

    In physics, Ginzburg?Landau theory is a mathematical theory used to model superconductivity. It does not purport to explain the microscopic mechanisms giving rise to superconductivity....
     of superconductivity


Further reading

  • by Boris L. Ioffe, Concluding talk at the workshop QCD at the Threshold of the Fourth Decade/Ioeffest.


  • Ammar Sakaji and Ignazio Licata (eds),[https://www.novapublishers.com/catalog/product_info.php?products_id=9382 Lev Davidovich Landau and his Impact on Contemporary Theoretical Physics], Nova Science Publishers, New York, 2009, ISBN 978-1-60692-908-7.