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Of all publications in the section: 5
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Article
I.V. Kolokolov, Nguyen Thanh T. Modern Physics Letters A. 2014. Vol. 28. No. 16. P. 1450128-1-1450128-7.

In this paper, we study the dynamics of the activation of a Brownian particle using the path integral formalism in real time. Along with the construction of the saddle-point (instanton) solutions, we develop the formalism allowing to calculate the effect of the fluctuations near this solution in detail. In particular, it is shown that there is a soft mode for which the integration is not Gaussian and just this mode is responsible for the finite probability flux.

Added: Oct 15, 2016
Article
Семенякин Н. С. Modern Physics Letters A. 2014. Vol. 29. No. 35.

In this paper, we investigate phase flows over ℂn and ℝn generated by vector fields V = ∑ Pi∂i where Pi are finite degree polynomials. With the convenient diagrammatic technique, we get expressions for evolution operators ev{V|t} : x(0) ↦ x(t) through the series in powers of x(0) and t, represented as sum over all trees of a particular type. Estimates are made for the radius of convergence in some particular cases. The phase flows behavior in the neighborhood of vector field fixed points are examined. Resonance cases are considered separately.

Added: Apr 4, 2018
Article
Kolokolov I. Modern Physics Letters A. 1988. Vol. 3. No. 5. P. 477-479.

It is shown that the total cross-section of coherent beam elastic scattering on crystal is proportional to N^{4/3}, where N is the number of scatterers.

Added: Mar 30, 2017
Article
Akhmedov E. Modern Physics Letters A. 2010. Vol. 25. No. 33. P. 2815-2823.
Added: Feb 27, 2013
Article
Takebe T., Fukuma M. Modern Physics Letters A. 1990. Vol. 5. No. 7. P. 509-518.
Added: Apr 7, 2009