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- E. A. Prodan, Walter Kohn
- Proceedings of the National Academy of Sciencesâ€¦
- 2005

In an earlier paper, W. Kohn had qualitatively introduced the concept of "nearsightedness" of electrons in many-atom systems. It can be viewed as underlying such important ideas as Pauling'sâ€¦ (More)

- E. A. Prodan
- 2009

Ever since introduced, the topological properties of the Spin-Chern (Cs) have been discussed and re-discussed in a fairly large number of works. On one hand the original paper by Sheng andâ€¦ (More)

- Nina Berg, Kira Joel, Miriam Koolyk, E. A. Prodan
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

This work describes a class of topological phonon modes, that is, mechanical vibrations localized at the edges of special structures that are robust against the deformations of the structures. Aâ€¦ (More)

We study the question of existence and uniqueness for the finite temperature Kohn-Sham equations. For finite volumes, a unique soluion is shown to exists if the effective potential satisfies a set ofâ€¦ (More)

Recent advances in the theory of complex symmetric operato rs re presented and related to current studies in non-hermitian q u tum mechanics. The main themes of the survey are: the structure ofâ€¦ (More)

- B. H. Leung, E. A. Prodan
- 2012

We study the effect of strong disorder in a 3-dimensional topological insulators with time-reversal symmetry and broken inversion symmetry. Firstly, using level statistics analysis, we demonstrateâ€¦ (More)

- E. A. Prodan
- 1999

We reconsider in this paper the problem of spontaneous pair creations in static external fields. In the original version [3], the problem was addressing to high energy physicists. The experimentalâ€¦ (More)

- E. A. Prodan
- 2005

The Kohn-Sham (KS) equations determine, in a self-consistent way, the particle density of an interacting fermion system at thermal equilibrium. We consider a situation when the KS equations are knownâ€¦ (More)

- E. A. Prodan
- 2005

This paper deals with Hamiltonians of the form H = âˆ’âˆ‡ + v(r), with v(r) periodic along the z direction, v(x, y, z + b) = v(x, y, z). The wavefunctions of H are the well known Bloch functions Ïˆn,Î»(r),â€¦ (More)

Following an old and simple idea of Takagi we propose a formula for computing the norm of a compact complex symmetric operator. This observation is applied to two concrete problems related to quantumâ€¦ (More)