2 citations · 5 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…