BOGOLYUBOV 60 



In the field of quantum field theory Bogolyubov made an at- 

 tempt at a completely new synthesis rejecting the Hamiltonian 

 formalism and replacing it by physical conditions, notably that 

 of causality. A systematic exposition of quantum field theory is 

 given by him in the monograph, "Introduction to the Theory of 

 Quantum Fields." Bogolyubov also gave a rigorous proof of the 

 so-called dispersional relations, introducing a new method in 

 quantum field theory. He uncovered the underlying premises 

 of quantum field theory necessary for the derivation of dis- 

 persion relationships, and provided rigorous proof for the 

 validity of these relations. He proved a series of theorems ly- 

 ing on the borderline of the theory of multiple complex variables 

 and the theory of generalized functions. 



Bogolyubov has attended the Pugwash Conferences. 

 As of 1961, Bogolyubov was a Member of the Presidium of 

 the Siberian Branch U.S.S.R. Academy of Sciences. 

 Bibliography: 



Problems of Dynamic Theory in Statistical Physics. 

 Moscow-Leningrad: 1946. 



New Methods in Variable Calculation. Kharkov-Kiev: 1932. 

 Statistical Methods in Mathematical Physics. Kiev: 1945. 

 and N. M. Krylov. Introduction to Non-Linear Mechanics 

 (Approach and asymptotic methods of non-linear mechanics). 

 Kiev: 1937. 



and Yu. A. Mitropolskii . Asymptotic Methods in the Theory 

 of Non-Linear Oscillations. Moscow: 1955. (See trans- 

 lation below) 



Introduction to the Quantum Field Theory. Moscow: 1957. 

 and Yu. A. Mitropolskii. Asymptotic Methods in the Theory 

 of Non-Linear Oscillations. (Translated from Russian). 

 Delhi Hindustan Pub. Corp., 1961; (New York, Gordon & 

 Breach) 537 p. (International monographs on advanced 

 mathematics). 



Equation with variational derivatives in problems of statisti- 

 cal physics and of quantum theory. Introductory article in 

 The Methods of Functionals in Quantum Theory of Fields, 

 I. V. Novozhilov and A. V. Tulub. New York: Gordon and 

 Breach, 1961. 79 p. (Russian tracts on advanced math, and 

 phys. ^.) 

 Office: Department of Theoretical Physics 



A. V. Steklov Mathematics Institute of USSR 

 1-y Akademicheskii Proyezd, 28 

 Moscow, USSR 



