7 citations · 15 across the 6 of their papers we have counts for
6 papers
Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
Eugene D. Belokolos
We prove that a neutral atom in mean-field approximation has symmetry and this fact explains the empirical -rule or Madelung rule which describes effectively…
Exactly solvable model of electron in the Lame potential and singularities of the electron thermodynamic potential
Victor G. Baryakhtar, Eugene D. Belokolos, Oleksandr V. Dmytriiev
One-gap and two-gap separable Lame potentials are studied in detail. For the one-dimensional case, we construct the dispersion relation graph E(k) and for the three-dimensional cas…
Wannier functions for quasi-periodic finite-gap potentials
E. D. Belokolos, V. Z. Enolskii, M. Salerno
In this paper we consider Wannier functions of quasi-periodic g-gap () potentials and investigate their main properties. In particular, we discuss the problem of averaging…
Wannier functions of elliptic one-gap potentials
E D Belokolos, V Z Enolskii, M Salerno
Wannier functions of the one dimensional Schroedinger equation with elliptic one gap potentials are explicitly constructed. Properties of these functions are analytically and numer…
Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt
E. D. Belokolos, F. Gesztesy, K. A. Makarov +1
We prove a generalization of the well-known theorems by Borg and Hochstadt for periodic self-adjoint Schrödinger operators without a spectral gap, respectively, one gap in their sp…
Foundations of Statistical Mechanics and Theory of Phase Transition
E. D. Belokolos
A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads…