7 citations · 13 across the 4 of their papers we have counts for
4 papers
Prime Number Diffeomorphisms, Diophantine Equations and the Riemann Hypothesis
Lubomir Alexandrov, Lachezar Georgiev
We explicitly construct a diffeomorphic pair (p(x),p^{-1}(x)) in terms of an appropriate quadric spline interpolating the prime series. These continuously differentiable functions…
Magnetic Moment Oscillations in a Quantum Hall Ring
Lachezar S. Georgiev, Michael R. Geller
We predict non-mesoscopic oscillations in the orbital magnetic moment of a thin semiconductor ring in the quantum Hall effect regime. These oscillations, which occur as a function…
The Diagonal Affine Coset Construction of the Z_k Parafermion Hall States
Lachezar S. Georgiev
We construct the Z_k parafermions as diagonal affine cosets and apply them to the quantum Hall effect. This realization is particularly convenient for the analysis of the Z_k pairi…
Chiral persistent currents and magnetic susceptibilities in the parafermion quantum Hall states in the second Landau level with Aharonov-Bohm flux
Lachezar S. Georgiev
Using the effective conformal field theory for the quantum Hall edge states we propose a compact and convenient scheme for the computation of the periods, amplitudes and temperatur…