Gennadi Sardanashvily (russian: Генна́дий Алекса́ндрович Сарданашви́ли; March 13, 1950 – September 1, 2016) was a

theoretical physicist Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experime ...

, a principal research scientist of

Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...

Biography

Gennadi Sardanashvily graduated from

(MSU) in 1973, he was a Ph.D. student of the Department of Theoretical Physics ( MSU) in 1973–76, where he held a position in 1976. He attained his Ph.D. degree in physics and mathematics from MSU, in 1980, with

Dmitri Ivanenko Dmitri Dmitrievich Ivanenko (russian: Дми́трий Дми́триевич Иване́нко; July 29, 1904 – December 30, 1994) was a Ukrainian theoretical physicist who made great contributions to the physical science of the twentieth cen ...

as his supervisor, and his D.Sc. degree in physics and mathematics from MSU, in 1998. Gennadi Sardanashvily was the founder and Managing Editor (2003 - 2013) of the International Journal of Geometric Methods in Modern Physics (IJGMMP). He was a member of Lepage Research Institute (Czech Republic).

Research area

Gennadi Sardanashvily research area is geometric method in classical and

quantum mechanics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, ...

and field theory, gravitation theory. His main achievement is geometric formulation of

classical field theory A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations, without considering effects of quantization; theories that incorporate quantum mechanics are called quantum ...

and non-autonomous mechanics including: *

gauge gravitation theory In quantum field theory, gauge gravitation theory is the effort to extend Yang–Mills theory, which provides a universal description of the fundamental interactions, to describe gravity. ''Gauge gravitation theory'' should not be confused with th ...

, where gravity is treated as a classical Higgs field associated to a reduced Lorentz structure on a world manifold * geometric formulation of

and Lagrangian BRST theory where classical fields are represented by sections of

fiber bundle In mathematics, and particularly topology, a fiber bundle (or, in Commonwealth English: fibre bundle) is a space that is a product space, but may have a different topological structure. Specifically, the similarity between a space E and a ...

s and their dynamics is described in terms of jet manifolds and the

variational bicomplex In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to the calculus of variations. For instance, this is the case of classical field theory on fiber bun ...

(

covariant classical field theory In mathematical physics, covariant classical field theory represents classical fields by sections of fiber bundles, and their dynamics is phrased in the context of a finite-dimensional space of fields. Nowadays, it is well known that jet bundles and ...

) * covariant (polysymplectic) Hamiltonian field theory, where momenta correspond to derivatives of fields with respect to all world coordinates * the second Noether theorem in a very general setting of reducible degenerate Grassmann-graded

Lagrangian system In mathematics, a Lagrangian system is a pair , consisting of a smooth fiber bundle and a Lagrangian density , which yields the Euler–Lagrange differential operator acting on sections of . In classical mechanics, many dynamical systems are Lagr ...

s on an arbitrary manifold * geometric formulation of classical and quantum non-autonomous mechanics on

s over

\mathbb R

* generalization of the Liouville–Arnold, Nekhoroshev and Mishchenko–Fomenko theorems on completely and partially integrable and

superintegrable Hamiltonian system In mathematics, a superintegrable Hamiltonian system is a Hamiltonian system on a 2n-dimensional symplectic manifold for which the following conditions hold: (i) There exist k>n independent integrals F_i of motion. Their level surfaces (invariant ...

s to the case of non-compact invariant submanifolds * cohomology of the

of graded differential forms of finite jet order on an infinite order jet manifold.''G. Sardanashvily'', Graded infinite order jet manifolds, Int. J. Geom. Methods Mod. Phys. 4 (2007) 1335–1362; Gennadi Sardanashvily has published more than 400 scientific works, including 28 books.

Selected monographs

*. *. *. *. *. *. *. *. *. *. *. *. *.

References

External links

Personal page at Moscow State University
(in Russian)
Gennadi Sardanashvily's personal site

Gennadi Sardanashvily's site at Google

Scientific Biography

List of publications at ResearchGate
{{DEFAULTSORT:Sardanashvily, Gennadi 1950 births 2016 deaths Russian physicists Academic staff of Moscow State University Theoretical physicists Moscow State University alumni