In this colloquium, we review the research on excitons in van der Waals heterostructures
from the point of view of variational calculations. We first make a presentation of the current …

We explore the potential of twisted light, a structured beam carrying orbital angular
momentum, as a tool to unveil many-body effects in parabolically confined systems …

The optical response of quasi-one-dimensional systems is often dominated by tightly bound
excitons that significantly influence their basic electronic properties. Despite their importance …

Assuming a logarithmic interaction between constituent particles, compact and locally
accurate wave functions that describe bound states of the two-particle neutral, and three …

We provide the exact analytical solution of the ground-state hydrogenic problem with soft
Coulomb potential in 1-, 2-and 3-D. We show that the wave function is an analytical function …

The envelope theory is an easy-to-use approximation method to obtain eigensolutions for
some quantum many-body systems, in particular in the domain of hadronic physics. Even if …

In this paper, we employ a fully microscopic approach to the study of interlayer excitons in
heterobilayers. We use Fowler's and Karplus' method to access the dynamical polarizability …

The envelope theory (ET) is a reliable and easy to implement method to solve time
independent Schrödinger-like equations (eigenvalues and eigenvectors). It is particularly …

A variational calculation for the energies of the ground and first excited states of a shallow
donor impurity in bilayer graphene (BLG) with an open energy gap is presented in this study …

We extend our previously developed approach for finding the exact analytical form of ground
state wave function of single‐electron Schrödinger equations to target arbitrary excited …