We study the Lie point symmetries of semilinear Kohn-Laplace equations on the Heisenberg group H and obtain a complete group classification of these equations.

Abstract A finite-temperature current-density functional theory for bosonic superfluids (sf-CDFT) in the thermal equilibrium state is proposed herein. In sf-CDFT, hydrodynamic physical quantities, such as particle number density, current and order parameter of Bose–Einstein condensation, are chosen basic variables. This enables simultaneous reproduction densities both superfluid normal fluid co...

It is shown that a real-valued formal meromorphic function on a formal generic submanifold of finite Kohn-Bloom-Graham type is necessarily constant.

Abstract The paper presents a device simulator for computing transport characteristics from first principles. developed computer program effectively performs large-scale parallel calculation of quasi-one-dimensional quantum in realistic nanoscale devices with thousands atoms the cross section area channel. Our is based on real-space Kohn–Sham Hamiltonian density functional theory and improved n...

Density functional theory (DFT) is a successful theory to calculate the electronic structure of atoms, molecules, and solids. Its goal is the quantitative understanding of materials properties from the fundamental laws of quantum mechanics. Traditional electronic structure methods attempt to find approximate solutions to the Schrödinger equation of N interacting electrons moving in an external,...