37 citations · 121 across the 16 of their papers we have counts for
17 papers
Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics
Arkady L. Kholodenko, Louis H. Kauffman
Huygens triviality-a concept invented by Jacques Hadamard-describes an equivalence class connecting those 2nd order partial differential equations which are transformable into the…
Black magic session of concordance: Regge mass spectrum from Casson's invariant
Arkady L. Kholodenko
Recently, there had been a great deal of interest in obtaining and describing of all kinds of knots in links in hydrodynamics, electrodynamics, non Abelian gauge field theories and…
Optical knots and contact geometry II.From Ranada dyons to transverse and cosmetic knots
Arkady L. Kholodenko
Some time ago Ranada (1989) obtained new nontrivial solutions of the Maxwellian gauge fields without sources. These were reinterpreted in Kholodenko (2015a) (part I) as particle-li…
When physics helps mathematics: calculation of the sophisticated multiple integral
A. L. Kholodenko, Z. K. Silagadze
There exists a remarkable connection between the quantum mechanical Landau-Zener problem and purely classical-mechanical problem of a ball rolling on a Cornu spiral. This correspon…
Newtonian limit of Einsteinian gravity: from dynamics of Solar system to dynamics of stars in spiral galaxies
Arkady L. Kholodenko
Attempts to merge Einsteinian gravity with Newtonian run into inconsistencies because in Newton's gravity time is absolute and the speed of gravity is infinite. Such an assumption…
Role of general relativity and quantum mechanics in dynamics of Solar System
Arkady L. Kholodenko
Let m(i) be the mass of i-th planet and M be the Solar mass. From astronomical data it is known that ratios r(i)=m(i)/(m(i)+M) are of order 10^(-3)-10^(-6) for all planets. The sam…