Sergei Tyablikov
Encyclopedia
Sergei Vladimirovich Tyablikov was a Russian
theoretical physicist
known for his significant contributions to statistical mechanics
, solid-state physics
, and for the development of the double-time Green function's formalism.
, Russia. In 1944 he graduated from the Faculty of Physics
at the Moscow State University
(MSU) and started his postgraduate study with Anatoly Vlasov
and later with Nikolay Bogoliubov at the Department of Theoretical Physics. In 1947 he obtained PhD degree (Candidate of Sciences) with PhD Thesis on the subject of crystallization theory and was appointed to the Steklov Institute of Mathematics
, where he continued to work for the rest of his life.
In 1954 he defended at the MSU his doctoral dissertation "Studies of the Polaron Theory" and obtained the degree of Doktor nauk
(Doctor of Science, similar to Habilitation
). Since 1962 he was the Head of the Division of Statistical Mechanics in the Steklov Institute of Mathematics.
In the period 1966-1968, Sergei Tyablikov also worked at the Joint Institute for Nuclear Research, where he was the first Head of the Statistical Mechanics and Theory of Condensed Matter Group at the Laboratory of Theoretical Physics.
or Fermi
operators, etc., which later became a common tool for theoretical physicists.
After finishing PhD he started to work on the problem of a particle interacting with a quantum field. This problem is directly related to polaron theory, the effect of impurities on the energy spectrum of superfluids, and other problems in condensed matter physics. He was involved in the development of operator form of perturbation theory
, approximate second quantization, adiabatic approximation for systems with translational invariance, and other theoretical physics methods which play an important role in the theory of many-particle systems.
Since 1948 in collaboration with Nikolay Bogoliubov he started to work on quantum theory of ferromagnetism
and antiferromagnetism
. In 1948 they developed a consistent theoretical polar model of metals. Later Tyablikov developed the first consistent quantum theory of magnetic anisotropy
.
His particularly important contribution to antiferromagnetism was in the development of the method of quantum temperature Green's functions. In 1959, Sergei Tyablikov and Nikolay Bogoliubov published the paper which strongly influenced the development of the many-body physics and specifically the quantum theory of magnetism. He also co-authored with V.L. Bonch-Bruevich the book The Green Function Method in Statistical Mechanics, the first book with a consistent exposition of the method of Green's functions.
Russians
The Russian people are an East Slavic ethnic group native to Russia, speaking the Russian language and primarily living in Russia and neighboring countries....
theoretical physicist
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
known for his significant contributions to statistical mechanics
Statistical mechanics
Statistical mechanics or statistical thermodynamicsThe terms statistical mechanics and statistical thermodynamics are used interchangeably...
, solid-state physics
Solid-state physics
Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the large-scale properties of solid materials result from...
, and for the development of the double-time Green function's formalism.
Biography
Tyablikov was born in KlinKlin
Klin is a town and the administrative center of Klinsky District of Moscow Oblast, Russia, located northwest of Moscow. The M10 highway connecting Moscow to St. Petersburg and the Moscow-Saint Petersburg Railway run through the town. It was home to Klin air base during the Cold War. ...
, Russia. In 1944 he graduated from the Faculty of Physics
MSU Faculty of Physics
The Faculty of Physics of Moscow State University is the largest faculty of Moscow State University.-Nobel winners:*Igor Tamm *Ilya Frank *Lev Davidovich Landau...
at the Moscow State University
Moscow State University
Lomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...
(MSU) and started his postgraduate study with Anatoly Vlasov
Anatoly Vlasov
Anatoly Alexandrovich Vlasov was a Russian theoretical physicist prominent in the fields of statistical mechanics, kinetics, and especially in plasma physics.-Biography:...
and later with Nikolay Bogoliubov at the Department of Theoretical Physics. In 1947 he obtained PhD degree (Candidate of Sciences) with PhD Thesis on the subject of crystallization theory and was appointed to the Steklov Institute of Mathematics
Steklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute is a research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. It was established April 24, 1934 by the decision of the General Assembly of the Academy of Sciences of the USSR in...
, where he continued to work for the rest of his life.
In 1954 he defended at the MSU his doctoral dissertation "Studies of the Polaron Theory" and obtained the degree of Doktor nauk
Doktor nauk
Doktor nauk is a higher doctoral degree, the second and the highest post-graduate academic degree in the Soviet Union, Russia and in many post-Soviet states. Sometimes referred to as Dr. Hab. The prerequisite is the first degree, Kandidat nauk which is informally regarded equivalent to Ph.D....
(Doctor of Science, similar to Habilitation
Habilitation
Habilitation is the highest academic qualification a scholar can achieve by his or her own pursuit in several European and Asian countries. Earned after obtaining a research doctorate, such as a PhD, habilitation requires the candidate to write a professorial thesis based on independent...
). Since 1962 he was the Head of the Division of Statistical Mechanics in the Steklov Institute of Mathematics.
In the period 1966-1968, Sergei Tyablikov also worked at the Joint Institute for Nuclear Research, where he was the first Head of the Statistical Mechanics and Theory of Condensed Matter Group at the Laboratory of Theoretical Physics.
Research work
During postgraduate study in 1944—1947 he worked on theory of crystallization, where he applied such methods as diagonalization of bilinear forms in BoseBoson
In particle physics, bosons are subatomic particles that obey Bose–Einstein statistics. Several bosons can occupy the same quantum state. The word boson derives from the name of Satyendra Nath Bose....
or Fermi
Fermion
In particle physics, a fermion is any particle which obeys the Fermi–Dirac statistics . Fermions contrast with bosons which obey Bose–Einstein statistics....
operators, etc., which later became a common tool for theoretical physicists.
After finishing PhD he started to work on the problem of a particle interacting with a quantum field. This problem is directly related to polaron theory, the effect of impurities on the energy spectrum of superfluids, and other problems in condensed matter physics. He was involved in the development of operator form of perturbation theory
Perturbation theory
Perturbation theory comprises mathematical methods that are used to find an approximate solution to a problem which cannot be solved exactly, by starting from the exact solution of a related problem...
, approximate second quantization, adiabatic approximation for systems with translational invariance, and other theoretical physics methods which play an important role in the theory of many-particle systems.
Since 1948 in collaboration with Nikolay Bogoliubov he started to work on quantum theory of ferromagnetism
Ferromagnetism
Ferromagnetism is the basic mechanism by which certain materials form permanent magnets, or are attracted to magnets. In physics, several different types of magnetism are distinguished...
and antiferromagnetism
Antiferromagnetism
In materials that exhibit antiferromagnetism, the magnetic moments of atoms or molecules, usuallyrelated to the spins of electrons, align in a regular pattern with neighboring spins pointing in opposite directions. This is, like ferromagnetism and ferrimagnetism, a manifestation of ordered magnetism...
. In 1948 they developed a consistent theoretical polar model of metals. Later Tyablikov developed the first consistent quantum theory of magnetic anisotropy
Magnetic anisotropy
Magnetic anisotropy is the direction dependence of a material's magnetic properties. In the absence of an applied magnetic field, a magnetically isotropic material has no preferential direction for its magnetic moment while a magnetically anisotropic material will align its moment with one of the...
.
His particularly important contribution to antiferromagnetism was in the development of the method of quantum temperature Green's functions. In 1959, Sergei Tyablikov and Nikolay Bogoliubov published the paper which strongly influenced the development of the many-body physics and specifically the quantum theory of magnetism. He also co-authored with V.L. Bonch-Bruevich the book The Green Function Method in Statistical Mechanics, the first book with a consistent exposition of the method of Green's functions.
Books
- Bonch-Bruevich V. L., Tyablikov S. V. (1962): The Green Function Method in Statistical Mechanics. North Holland Publishing Co.
- Tyablikov S. V. (1995): Methods in the Quantum Theory of Magnetism. (Translated to English) Springer; 1st edition. ISBN 0306302632. ISBN 9780306302633.