Ludvig Faddeev

Ludwig Dmitrievich Faddejew (Russian Людвиг Дмитриевич Фаддеев cited English-language Ludvig Faddeev, born March 23, 1934 in Leningrad, Soviet Union) is a leading Russian theoretical physicist and mathematician.

Biography

Faddejews father Dmitri Faddejew (1907-1989) was professor of mathematics in St. Petersburg, corresponding member of the Academy of Sciences of the USSR and known algebraists, his mother Vera Faddejewa was also a well-known mathematician. Faddejew studied from 1951 at the University of Leningrad with Olga Ladyschenskaja (known for their work on partial differential equations of hydrodynamics ) and the physicist Vladimir Fock. In 1956 he graduated and in 1959 he received his doctorate and has since been at the Steklov Institute in Leningrad, where he became professor in 1969, 1976-1987 Deputy Director and then was director. He was also a long time director of the International Mathematical established in 1988 Euler Institute.

Faddejew is especially known for introducing ( with his colleague Victor Nikolaevich Popov ) of Faddejew - Popov ghosts for the treatment of calibration degrees of freedom in Yang-Mills theories ( nonabelian gauge theories ). In the 1960s, he introduced the Faddejew equations for the exact treatment of the three- body problem in quantum mechanics. From the 1970s he worked primarily with exactly solvable ( " integrable " ) models of mathematical physics ( key words here are Yang -Baxter relations and the Bethe approach), behind which often puts the structure of quantum groups. At the elucidation of these compounds he was much involved. In 1975, he developed a method for the quantization of solitons. He also dealt with the mathematical treatment of the infrared problem in quantum electrodynamics and the theory of magnetically confined plasmas.

Faddejew is since 1976 member of the Academy of Sciences of the USSR, and later the Russian Academy of Sciences, ( where he was the Executive Committee since 1988) and also a member of the National Academy of Sciences of the United States and the French, Swedish, and since 2011 the Austrian Academy of Sciences. In 1971 he was awarded the State Prize of the USSR ( as well as 1995 and 2004, again the Russian State Prize ), 1975 the Dannie Heineman Prize for Mathematical Physics, 1990, the Dirac Medal ( ICTP ), 1996, the Max Planck Medal and 2002 the Pomeranchuk - Price. 1983-1986 he was. Jean- Pierre Serre Vice President and 1987-1990 President of the International Mathematical Union In 2006 he received the Henri Poincaré Prize, the 2008 Shaw Prize (together with Arnold) and 2013, the Lomonosov Gold Medal. In 2002 he gave a plenary lecture at the International Congress of Mathematicians in Beijing ( Knotted solitons ), 1978 he was invited speaker at the ICM in Helsinki (Quantum theory of solitons ) in Stockholm in 1962 ( Construction of the resolvent of the energy operator for a three particle system and the scattering problem) and 1970 in Nice ( Symplectic structure and quantization of the Einstein gravitation theory ).

His doctoral include Pyotr Petrovich Kulish, Alexander Rudolfowitsch Its Nikolai Reschetichin, Vladimir Korepin, Vladimir Buslajew, Leon Tachtadschjan, Alexei Wenkow.

Comments

Writings

  • Feynman diagrams with Popov for the Yang-Mills field, Physics Letters B, Bd.25, 1967, p.29 ( Faddeev - Popov ghosts)
  • Mathematical aspects of the three body problem- in quantum scattering theory, Steklov Institute, 1965 ( Faddeev equations)
  • With Kulish Asymptotic conditions and infrared divergences in quantum electrodynamics, Theoretical and mathematical physics Volume 4, 1970, S.745
  • 40 years in mathematical physics, World Scientific 1995
  • With Mercuriev Quantum scattering theory of several particle systems, Kluwer 1993
  • With Andrei Slavnov Gauge fields - introduction to quantum theory, 2nd edition, Addison -Wesley, 1991 (Russian 1978, first, English first gauge theories 1980, Benjamin - Cummings )
  • With Takhtajan Hamiltonian methods in the theory of solitons, Springer 1987
  • Quantum theory of solitons with Korepin, Physics Reports, Volume 42, 1978, pp. 1-87
  • Functional methods in Balian, tin -Justin (eds.) Les Houches Lectures 1975
  • With OA Yakubovskii Lectures on quantum mechanics for mathematics students, American Mathematical Society 2009
  • How I came to work with Victor Popov, Journal Mathematical Sciences, Bd.88, 1998, No.2 ( original Russian as a tribute to Popov 1995, Emergence of Faddeevs most famous work).
  • What mathematical physics is Supposed to be, in Bolibruch, Osipov, Sinai (Editor) Mathematical Events of the Twentieth Century, Springer 2006, p 75
Bethe-Ansatz USSR State Prize Dirac Prize Jean-Pierre Serre Sergei Novikov (mathematician) Integrated Authority File
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