Nikolay Bogolyubov

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Nikolai Nikolaevich Bogoliubov

Born August 21, 1909
Nizhny Novgorod, Imperial Russia
Died February 13, 1992
Moscow, Russia
Fields Theoretical Physics
Institutions Joint Institute for Nuclear Research, Dubna
Alma mater Academy of Science of Ukrainian SSR
Moscow State University
Doctoral advisor Nikolay M. Krylov
Doctoral students D.V. Shirkov
Known for Bogoliubov transformation, Krylov-Bogolyubov theorem, Quantum Field Theory, Statistical field theory, superconductivity, Superfluidity
Notable awards USSR State Prize (1947, 1953, 1984)
Lenin Prize (1958)
Hero of Socialist Labor (1969, 1979)
Max Planck Medal (1973)
Lomonosov Gold Medal (1985)
Dirac Medal (1992).

Nikolai Nikolaevich Bogoliubov, (Russian: Николай Николаевич Боголюбов, Ukrainian: Микола Миколайович Боголюбов) (21 August 1909, Nizhny Novgorod13 February 1992, Moscow) was a Russian mathematician and theoretical physicist known for his work in statistical field theory and dynamical systems. He was awarded the Dirac Medal in 1992. He was a student of famous Soviet physicist Nikolay Mitrofanovich Krylov.

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[edit] Biography

Nikolai Nikolaevich Bogoliubov was born in Nizhny Novgorod, USSR. His family moved to Kiev in 1921, where after graduation from a high school Nikolai began independent study of mathematics and physics, participating in seminars at Kiev University. In 1924 he wrote his first published scientific paper. In 1925 he entered Ph.D. program at the Academy of Science of Ukrainian SSR, from which he graduated in 1929.

Krylov and Bogoliubov are key figures in what has been called the Kiev School of nonlinear oscillation research. Their cooperation resulted in the paper "On the quasiperiodic solutions of the equations of nonlinear mechanics" in 1934 and the book Introduction to nonlinear mechanics in 1937 (translated into English in 1947). Distinctive features of the Kiev School approach were: an emphasis on the computation of solutions (not just proof of existence), on the approximation of periodic solutions, on invariant manifolds in phase space, and on applying similar methods to many different applications.

From a control engineering point of view, the key achievement of the Kiev School was the development of the describing function method for the analysis of nonlinear control problems.

In the late 1940s and '50s Bogoliubov worked on the theory of superfluidity and superconductivity. Later he worked on quantum field theory, and introduced the Bogoliubov transformation. In the 1960s his attention turned to the quark model of hadrons; in 1965 he was one of the first to study the new quantum number color charge.

Together with Dmitry Blokhintsev, N.N. Bogoliubov was a founder and the first director of the N.N. Bogoliubov Laboratory of Theoretical Physics, which is a part of Joint Institute for Nuclear Research in Dubna, Russia, and has traditionally been the home of the prominent Russian schools in quantum field theory, theoretical nuclear physics and statistical physics.

N.N. Bogoliubov was a scientific supervisor of Yurii Mitropolsky, Dmitrii Shirkov, Selim Krein, Iosif Gihman, Naftul Polsky and Galina Biryuk.[1] His famous method to teaching of students based on create an atmosphere of warmth, politeness and kindness is famous in Russia as the Bogoliubov approach.

[edit] Contributions of N.N. Bogoliubov into the world Science

Fundamental papers of N.N. Bogoliubov were devoted to variational calculus, approximation methods of mathematical analysis, differential equations, equations of mathematical physics, asymptotic methods of nonlinear mechanics, theory of stability, theory of dynamical systems and many other areas.

In 1947 N.N. Bogoliubov introduced kinetic equations in superfluidity theory. He built a new theory of scattering matrices, formulated concepts of microscopical causality, obtained important results in quantum electrodynamics, and investigated dispersion relations that have important meaning in elementary particle theory. In 1958 N.N. Bogoliubov formulated a theory of superconductivity. He formulated an analogy between superconductivity and superfluidity phenomena. He investigated a new synthesis of the Bohr theory of quasiperiodic functions and he developed methods of asymptotic integration of nonlinear differential equations which describe oscillating processes.

Academician Nikolai Nikolaevich Bogoliubov built the famous school of theoretical physics and nonlinear mechanics in Dubna, namely the Joint Institute for Nuclear Research

[edit] Fundamental works and books

  • Introduction to nonlinear mechanics (in Russian), Kyiv 1937 (together with N.M. Krylov);
  • On some statistical methods in mathematical physics (in Russian), Kyiv, 1945;
  • The Problem of Dynamical Theory in Statistical Physics (in Russian), Izdatel'stvo O.G.I.Z. Gostekhizdat, Moscow-Leningrad, 1946;
  • On the theory of superfluidity (in Russian), Izvestia Akademii Nauk USSR, 11, N1, 77, 1947
  • Equations of Hydrodynamics in statistical mechanics (in Russian), Sbornik trudov Instituta Matematiki AN CCCP, 10, 41, 1948
  • Lectures in Quantum Statistics. Questions of statistical mechanics of quantum systems (in Ukrainian), Kyiv 1949;
  • Asimptotical methods in nonlinear oscillations theory (in Russian), Moscow, 1958 (together with Yu. A. Mitropolsky);
  • Introduction to the theory of quantized field (in Russian), Moscow, 1957 (together with D.V. Shirkov);
  • Questions of the dispersion relations theory (in Russian), Moscow, 1958 (coauthor);
  • A New Method in the Theory of Superconductivity (in Russian), Izdatel'stvo Akademii Nauk USSR, Moscow, 1958 (together with V.V. Tolmachev and D.V. Shirkov);
  • On question about superfluidity condition in the nuclear matter theory, Doklady Akademii Nauk USSR, 119, 52, 1958
  • On one variational principle in many body problem (in Russian), Doklady Akademii Nauk USSR, 119, N2, 244, 1959
  • On compensation principle in the method of selfconformed field (in Russian), Uspekhi Fizicheskhih Nauk, 67, N4, 549, 1959
  • N.N. Bogoliubov, D.V. Shirkov (1959): The theory of quantized fields, Interscience. The first text-book on Renormalization group
  • The Quasi-aveages in Problems of Statistical Mechanics (in Russian), Preprint D-781, JINR, Dubna, 1961
  • On the Hydrodynamics of a Superfluiding (in Russian), Preprint P-1395, JINR, Dubna, 1963
  • Basics of axiomatic approach in Quantum Field Theory (in Russian), Moscow, 1969 (together with A.A. Logunov and I.T. Todorov)
  • General Principles of Quantum Field Theory (in Russian), Izdatel'stvo Nauka, Moscow, 1987 (together with A.A. Logunov, A.I. Oksak, I.T. Todorov)
  • Quantum fields (in Russian), 3rd edition, Moscow, 2005 (together with D.V. Shirkov).

[edit] Awards

For his work, N.N. Bogoliubov was awarded some of the highest honors in the Soviet Union: the Hero of Socialist Labor (1969, 1979), Lenin Prize (1958), USSR State Prize (1947, 1953, 1984), the Lomonosov Gold Medal (1985). In 1973 he was awarded with Max Planck medal[2]. He is the recipient of the Dirac medal of The Abdus Salam International Centre for Theoretical Physics in Trieste (1992).

Joint Institute for Nuclear Research- the institution where Bogoliugov worked for long time, gives the Nikolai Nikolaevich Bogoliubov Prize in honour of N.N. Bogoliubov, for scientists who has made outstanding contribution to theoretical physics and applied mathematics.

[edit] Notes

[edit] References

  • Halanay, Aristide. Book Review. Bulletin of the AMS. Retrieved on January 29, 2006.

[edit] See also

[edit] External links