2 citations · 5 across the 6 of their papers we have counts for
6 papers
On perturbation theory for the Sturm-Liouville problem, Part II
Vladimir Kalitvianski
I study some possibilities of analytically solving a particular Sturm-Liouville problem with step-wise (piece-constant) coefficients with help of an iterative procedure mentioned i…
On integrating out short-distance physics
Vladimir Kalitvianski
I consider a special atomic scattering problem where the target atom has distinct "soft" and "hard" excitation modes. I demonstrate that in this problem the integration out of "sho…
A Toy Model of Renormalization and Reformulation
Vladimir Kalitvianski
I consider a specially designed simple mechanical problem where "particle acceleration" due to an external force creates sound waves. Theoretical description of this phenomenon sho…
On Perturbation Theory for the Sturm-Liouville Problem with Variable Coefficients
Vladimir Kalitvianski
In this article I study different possibilities of analytically solving the Sturm-Liouville problem with variable coefficients of sufficiently arbitrary behavior with help of pertu…
Reformulation Instead of Renormalizations
Vladimir Kalitvianski
In this article I show why the fundamental constants obtain perturbative corrections in higher orders, why the renormalizations work and how to reformulate the theory in order to a…
Atom as a "Dressed" Nucleus
Vladimir Kalitvianski
It is shown that the electrostatic potential of atomic nucleus "seen" by a fast charged projectile at short distances is smeared quantum mechanically due to nucleus motion around t…