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Information about Nikolay Bogolyubov

Biography

Nikolai Nikolaevich Bogoliubov, (Russian: Николай Николаевич Боголюбов, Ukrainian: Микола Миколайович Боголюбов) (21 August 1909, Nizhny Novgorod – 13 February 1992, Moscow) was a Russian-Ukrainian 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 Nikolay Mitrofanovich Krylov.

He was born in Nizhny Novgorod, Russia. 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 D.I. 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 the 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. 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.

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) and the Dirac medal of The Abdus Salam International Centre for Theoretical Physics in Trieste (1992).

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, asymptotical methods of nonlinear mechanics, theory of stability, theory of dynamical systems and many other areas.

In 1947 N.N. Bogoliubov was intoduce 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 was formulate analogy between superconductivity and superfluidity phenomena. He investigated new synthesis of the Bohr theory of quasiperiodical functions and he was develop methods of assimptotical integarting of nonlinear differential equations which describe oscillating processes.

Academician Nikolai Nikolaevich Bogoliubov was built the famous school of theoretical physics and nonlinear mechanics in JINR Dubna.

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
  • 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).

References

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

See also

External links

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Nikolay Mitrofanovich Krylov. Born: 29 Nov 1879 in St Petersburg, Russia. Died: 11 May 1955 in Moscow, USSR. He worked on interpolation and numerical solutions. Nikolay Bogolyubov was his student.
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