Oleg Borisovich Firsov

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REGULAR ARTI CLE Oleg

The paper describes the quantized Hamilton dynamics (QHD) approach that extends classical Hamiltonian dynamics and captures quantum effects, such as zero point energy, tunneling, decoherence, branching, and statespecific dynamics. The approximations are made by closures of the hierarchy of Heisenberg equations for quantum observables with the higher order observables decomposed into products of...

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Research Statement Oleg N. Smirnov

1.1 Graded associative algebras. A nite Z-grading of an algebra A is a decomposition A = L n i=?n A i such that A i A j A i+j , where A i = 0 for jij > n. From now on a grading means a nite Z-grading. I am interested in associative graded algebras because they arise naturally in study of Lie algebras, although the subject is certainly interesting in its own right. A classiication of gradings of...

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In memoriam. Vadim Borisovich Kuznetsov 1963-2005. A scientific biography.

While in theGraduate School at theLeningradUniversity,Vadimcameunder the influence of Professor Igor V. Komarov who instilled in him a lasting interest in the phenomenonof integrability in classical andquantummechanics.Vadim’s firstwork (Komarov & Kuznetsov 1987) gave voice to his remarkable creativity in finding a new explicit formula for the angle variables in the Kowalevski top. Following th...

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Stochastic aggregation of point particles revisited . Oleg

In the present letter we employ the method of the dynamical renormalisation group to compute the average mass distribution of aggregating point particles in 2 dimensions in the regime when the effects of local mass distribution fluctuations are essential. PACS numbers: 05.10.Cc, 82.20.Mj.

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List of Results Oleg N. Smirnov

This list is a short overview of some of my results. One can nd a more detailed description in my Research Statement or at 1. Simple associative algebras with nite Z-grading. Here, R is a simple algebra with a nite Z-grading over a commutative ring. A description of all such algebras was given 18]. As a corollary, it was proved that every (not necessarily nite dimensional) simple Lie algebra of...

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ژورنال

عنوان ژورنال: Physics Today

سال: 1998

ISSN: 0031-9228,1945-0699

DOI: 10.1063/1.882426