Electron localisation function in current-density-functional theory

Current Densities in Density Functional Theory

It is well known that any given density ρ(x) can be realized by a determinantal wave function for N particles. The question addressed here is whether any given density ρ(x) and current density j(x) can be simultaneously realized by a (finite kinetic energy) determinantal wave function. In case the velocity field v(x) = j(x)/ρ(x) is curlfree, we provide a solution for all N , and we provide an e...

Stochastic time-dependent current-density-functional theory.

A time-dependent current-density-functional theory for many-particle systems in interaction with arbitrary external baths is developed. We prove that, given the initial quantum state |Psi0> and the particle-bath interaction operator, two external vector potentials A(r,t) and A'(r,t) that produce the same ensemble-averaged current density, j(r,t), must necessarily coincide up to a gauge transfor...

All-electron Density Functional Theory and Time- Dependent Density Functional Theory with Finite Elements

The density functional theory (DFT) has become the workhorse in electronic structure calculations. Its success derives from the ability to produce accurate results with reasonable computational effort. The drawback of the DFT is that in principle it is bound to the ground-state properties. However, the time-dependent DFT (TDDFT) extends the applicatibility of the DFT to excited states. In recen...

All-electron density functional theory and time-dependent density functional theory with high-order finite elements.

We present for static density functional theory and time-dependent density functional theory calculations an all-electron method which employs high-order hierarchical finite-element bases. Our mesh generation scheme, in which structured atomic meshes are merged to an unstructured molecular mesh, allows a highly nonuniform discretization of the space. Thus it is possible to represent the core an...

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