The review considers the peculiarities of symmetry breaking and symmetry transformations
and the related physical effects in finite quantum systems. Some types of symmetry in finite …

It is shown that with the inclusion of the vertical extension of a quantum dot the experimental
findings of Ashoori et al.[Phys. Rev. Lett. 71, 613 (1993)] can be modeled consistently with a …

We study the spectral properties of electron quantum dots (QDs) confined in 2D parabolic
harmonic oscillator influenced by external uniform electrical and magnetic fields together …

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic
quantum dot and subjected to an external uniform magnetic field have been calculated by …

We present an analytical analysis of the two-dimensional Schrödinger equation for two
interacting electrons subjected to a homogeneous magnetic field and confined by a two …

Shell phenomena in small quantum dots with a few electrons under a perpendicular
magnetic field are discussed within a simple model. It is shown that various kinds of shell …

We provide a quantitative determination of the crystallization onset for two electrons in a
parabolic two-dimensional confinement. This system is shown to be well described by a …

The effects of electron-electron interaction of a two-electron nanoscopic ring on the energy
levels and far-infrared spectroscopy have been investigated based on a model calculation …

A tool for the identification of the shape of quantum dots is developed. By preparing a two-
electron quantum dot, the response of the low-lying excited states to a homogeneous …

The influence of the electron-electron correlation on the electronic properties of vertical
gated quantum dots with three-dimensional confinement has been studied by the …