A new integral equation that describes the behavior of the momentum space wave function
for the one-dimensional Coulomb potential is proposed. The obtained result turned out to be …

An exponential interaction is constructed so that one-dimensional atoms and chains of
atoms mimic the general behavior of their three-dimensional counterparts. Relative to the …

In the context of condensed matter physics, the Sommerfeld parameter describes the
enhancement or suppression of free-carrier charge density in the vicinity of a charged …

We introduce one-and two-dimensional 'exponential shapelets': orthonormal basis functions
that efficiently model isolated features in data. They are built from eigenfunctions of the …

An efficient way of evolving a solution to an ordinary differential equation is presented. A
finite element method is used where we expand in a convenient local basis set of functions …

We report benchmark results for one-dimensional (1D) atomic and molecular systems
interacting via the Coulomb operator| x|− 1. Using various wavefunction-type approaches …

Searching for new states of matter and unusual quasi-particles in Dirac materials attracts a
significant interest in condensed matter physics. Here we investigate the bound state …

Following two recent papers [Phys. Chem. Chem. Phys., 2015, 17, 3196; Mol. Phys., 2015,
113, 1843], we perform a larger-scale study of chemical structure in one dimension (1D). We …

The system of two interacting electrons in one-dimensional harmonic potential or Hooke's
atom is considered, again. On one hand, it appears as a model for quantum dots in a strong …

We present a preliminary version of a software package, Chem1d, that performs molecular
orbital calculations on one-dimensional atoms and molecules using the unadorned …