We theoretically investigate exciton-polaritons in a two-dimensional (2D) semiconductor
heterostructure, where a static magnetic field is applied perpendicular to the plane. To …

Exact analytical solutions of the Schrödinger equation for a two-dimensional purely sextic
double-well potential are proved to exist for a denumerably infinite set of the geometry …

A hydrogen atom in a constant magnetic field is a problem whose Schrödinger equation has
been considered to be analytically unsolvable. However, it has been found for the case of …

Recent experiments have shown that the electron-hole interaction in monolayer materials,
such as MoS 2, MoSe 2, WS 2, WSe 2, is no longer Coulombic but screened by the effect of …

Explicit expressions are given for analytically describing the dependence of the energy of a
two-dimensional exciton on magnetic field intensity. These expressions are highly accurate …

The Feranchuk-Komarov operator method is developed by combining with the Levi-Civita
transformation in order to construct analytical solutions of the Schrödinger equation for a two …

We consider a non-relativistic two-dimensional (2D) hydrogen-like atom in a weak, static,
uniform magnetic field perpendicular to the atomic plane. Within the framework of the …

ABSTRACT A theoretical analytical investigation for the exact solvability of non-relativistic
quantum spectrum systems, at low energy for modified two-dimensional purely sextic double …

Abstract A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed
in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered …

The well-known hypervirial perturbation method (HPM), based on hypervirial relations and
the Hellmann-Feynman theorem, is suitable for the calculation of perturbation corrections of …