Yuri Alexandrovich Krutkov (, 29 May 1890 – 12 September 1952) was a Russian and among the first Soviet theoretical physicists. Krutkov worked on cosmology, quantum theory, statistical mechanics, tensor fields, and other areas. He was a professor of physics at the University of St. Petersburg from 1921-1952.
His first work was on adiabatic invariants. Funded by a Rockefeller Foundation grant, he worked in Germany and Holland in 1922-23 during which time he met Albert Einstein. Here he pointed out an error in Einstein's critique of Friedmann's work on the expanding universe. Krutkov later considered rotational Brownian motion and looked at the theory of rolling motion of ships floating on a randomly moving sea and examined the physical predictions. He applied statistical mechanics to Gyroscope and wrote a book on the general theory of gyroscopes in collaboration with Aleksey Krylov.
Krutkov taught at the Leningrad Polytechnic Institute and at the Leningrad University where his students included Vladimir Fock. During World War II he was imprisoned but continued to work on some aerodynamics problems with Andrei Tupolev.
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