5 citations · 8 across the 7 of their papers we have counts for
7 papers
Simple finite-dimensional model of the metastable state
A. I. Dubikovsky, P. K. Silaev
We have constructed an approximate analytical solution of the spectral problem for a finite-dimensional matrix of a special kind, which turns out to be a very simple and quite sati…
On the possibility of the implicit renormalization procedure for the Casimir energy
A. I. Dubikovsky, P. K. Silaev
We propose a procedure for the renormalization of Casimir energy, that is based on the implicit versions of standard steps of renormalization procedure --- regularization, subtract…
Properties of collapse dynamics in relativistic theory of gravitation in the case of smooth initial matter distributions
K. V. Antipin, A. I. Dubikovsky, P. K. Silaev
We use both numerical and analytical approaches to study the dynamics of the gravitational collapse in the framework of the relativistic theory of gravitation (RTG). We use various…
On a possible method of Casimir pressure renormalization in a ball
A. I. Dubikovsky, P. K. Silaev, O. D. Timofeevskaya
We propose a method of Casimir pressure renormalization for massive scalar field in a ball. This method is slightly different from the generally accepted. An alternative way of cho…
Lorentz-Covariant Analysis of a Quantum Soliton
Andrei Dubikovsky
A set of integral relations for rotational and translational zero modes in the vicinity of the classical soliton solution are derived from the particle-like properties of the latte…
Decoupling of Translational and Rotational Modes for a Quantum Soliton
A. Dubikovsky, K. Sveshnikov
A set of integral relations for rotational and translational zero modes in the vicinity of the soliton solution are derived from the particle-like properties of the latter and veri…