2 citations · 3 across the 5 of their papers we have counts for
5 papers
Effective field theory description of topological crystalline insulators
N. M. Vildanov
We propose a phenomenological theory for topological crystalline insulators with time reversal and symmetries. First, we introduce a fictitious space and transformation of el…
Some extensions of Ramanujan's 1-psi-1 summation formula
N. M. Vildanov
We have found several summation formulas that extend Ramanujan's psi sum. First contains a parameter , is a positive integer, and transforms to -beta integral in the…
Tomographic transform on a sphere and topological insulators
N. M. Vildanov
The tomographic transform was first introduced in the field theory literature long ago. It is closely related to Radon transform. In this paper we show how the tomographic transfor…
Hydrodynamic theory of surface excitations of three-dimensional topological insulators
N. M. Vildanov
Edge excitations of a fractional quantum Hall system can be derived as surface excitations of an incompressible quantum droplet using one dimensional chiral bosonization. Here we s…
Generalization of the Glasser - Manna - Oloa integral and some new integrals of similar type
Niyaz M. Vildanov
As was shown in the previous works by other authors, Glasser - Manna - Oloa integral arise in the study of the Laplace transform of the dilogarithm function and can be evaluated in…