Volovich, Igor Vasilievich

Born on August 9, 1946 in with. Vokhtomskoye, Konoshsky District, Arkhangelsk Region . In 1970 he graduated from the Physics Department of Moscow State University .

From 1970 to 1973, a graduate student, then a junior and senior researcher, since 1991 - a leading researcher, head. Department of Mathematical Physics Steklov Institute of Mathematics, Russian Academy of Sciences .

Doctoral dissertation on the topic "Mathematical problems of supersymmetric and p-adic field theory" in special. 01.01.03 / USSR Academy of Sciences. Mat. Institute of them. V. A. Steklova, 1990 ^[2]

He was elected a corresponding member of the Russian Academy of Sciences in the Department of Mathematical Sciences (specialization "mathematics") on May 22, 2003.

Scientific contribution

He solved a number of well-known problems and laid the foundations of new large areas of mathematical physics, which were widely recognized - p-adic mathematical physics and the stochastic limit method in the quantum theory of dynamical systems.

The construction of p-adic strings and p-adic quantum mechanics proposed by Volovich prompted extensive research in our country and abroad on the applications of p-adic numbers in mathematical physics.

Having substantially developed and generalized a number of previous works by N. N. Bogolyubov , I. R. Prigogine, and other researchers, I. V. Volovich developed a method for the stochastic limit of studying the dynamic properties of quantum models. This method is widely used by domestic and foreign researchers.

He proposed and solved the superaudoduality equations for the supersymmetric Yang - Mills theory , solved the model of statistical mechanics with Toeplitz interaction on the semi-axis, proposed and studied models of string theory with connectivity on the string surface, in particular, the theory of torsion strings and the theory of affine strings. He constructed solutions of the equations of the multidimensional Kaluza-Klein theory and the effective theory of superstrings with additional time-like measurements.

In the 2000s, the attention of a scientist was attracted by research in the field of quantum computers. In this area, in particular, he built a quantum analogue of the Kolmogorov machine and proposed a method for reducing quantum decoherence.

Investigated the spatio-temporal characteristics of entangled quantum states.

Scientific Works

He is the author of more than 230 scientific papers, including two monographs ^[3] .

The main works:

1. Vladimirov V.S. , Volovich I.V., Zelenov E.I. p-adic analysis and mathematical physics. - M .: Nauka, 1994 .-- 352 p. - ISBN 5-02-015038-X
2. M. Ohya, I. Volovich , Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Springer, Dordrecht, 2011, ISBN 978-94-007-0170-0 , xx + 759 pp.
3. L. Accardi, Lu Yun Gang, I. Volovich , Quantum theory and its stochastic limit, Springer-Verlag, Berlin, 2002, xx + 473 pp.
4. Volovich I.V., Trushechkin A.S. Asymptotic properties of quantum dynamics in bounded domains at different time scales // Izv. RAS. Ser. Mat., - 2012. - T. 76, No. 1. - P. 43-84
5. IV Volovich , “p-adic string”, Classical Quantum Gravity, 4: 4 (1987), L83-L87

Teaching activity

Prepared 3 candidates of sciences.

Since the fall of 2008, he has been the supervisor of the Laboratory of Mathematical Physics of the Mechanics and Mathematics Faculty of Samara State University , established on October 31, 2008 in accordance with the decision of the International Conference on Mathematical Physics and its applications and the decision of the University’s Scientific and Technical Council ^[4] .

I.V. Volovich considered it possible to sign, together with a number of academicians, corr. Members and professors of the Russian Academy of Sciences, a letter in support of V.V. Kudryavtsev , an elderly mathematician at the Central Scientific Research Institute of Mechanical Engineering, accused of treason for participating in the open international space project Transhyberian, carried out as part of the Seventh Framework Program of the European Union and in the presence of all permissions required by law in this regard.

• He was awarded the medal "In memory of the 850th anniversary of Moscow" (1997).
• Gold medal named after P. L. Chebyshev for the series of works “Method of the stochastic limit of the study of the dynamic properties of quantum models” (2007)

• Igor Vasilievich Volovich // about him on the MIRAN portal
• Scientific works of I.V. Volovich on the RSL portal.
• Volovich Igor Vasilievich (about him on the IP portal “Archives of the RAS”)
• Sep. Mathematical Physics, MI RAS (Head of Department - I.V. Volovich) on the portal of MI RAS.