5 citations · 9 across the 7 of their papers we have counts for
7 papers
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…
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…
The Effect of Slope in the Casimir Rack Gear
Yuliya Voronina, Petr Silaev
The effect of slope for the rack gear in the massless scalar field model is considered. It appears, that the slope of profile surfaces can essentially change the value of normal Ca…
On the Shape Dependence of the Tangential Casimir Force
Yuliya Voronina, Petr Silaev
The normal and tangential Casimir force for the rack gear is calculated numerically in the case of ideal boundary conditions for the electromagnetic field - perfect reflection on t…
On the numerical technique of Casimir energy calculation
Il. Malakhov, P. Silaev, K. Sveshnikov
A non-subtractive recipe of Casimir energy renormalization efficient in the presence of logarithmically divergent terms is proposed. It is demonstrated that it can be applied even…
On the numerical method of Casimir energy renormalization in the presence of logarithmical divergencies
Il. Malakhov, P. Silaev, K. Sveshnikov
A non-subtractive recipe of Casimir energy renormalization efficient in the presence of logarithmically divergent terms is proposed. It is demonstrated that it can be applied even…
UV-regularization of field discontinuities
K. Sveshnikov, P. Silaev, I. Cherednikov
A nonperturbative regularization of UV-divergencies, caused by finite discontinuities in the field configuration, is discussed in the context of 1+1-dimensional kink models. The re…