Adiabatic description of nonspherical quantum dot models

Within the effective mass approximation an adiabatic description of spheroidal and dumbbell quantum dot models in the regime of strong dimensional quantization is presented using the expansion of the wave function in appropriate sets of single-parameter basis functions. The comparison is given and the peculiarities are considered for spectral and optical characteristics of the models with axially symmetric confining potentials depending on their geometric size making use of the total sets of exact and adiabatic quantum numbers in appropriate analytic approximations

(e, 3e) reactions at moderate energies: visualization of average field effects in atom

In the case of helium atom the theory is presented for quasi-elastic A (e, 3e) A sup + sup + and A (e, 3 -1e) A sup + sup + atomic reactions in the coplanar symmetric geometry at incident electron energy of several hundreds eV. The comparison with the recent (e, 3 - 1 e) experiment has allowed one to observe the effect of the mean atomic field as well as postcollisional effects

Finite element method for solving the collective nuclear model with tetrahedral symmetry

We apply a new calculation scheme of a finite element method (FEM) for solving an elliptic boundary-value problem describing a quadrupole vibration collective nuclear model with tetrahedral symmetry. We use shape functions constructed with interpolation Lagrange polynomials on a triangle finite element grid and compare the FEM results with those obtained earlier by a finite difference method. © 2019 Jagellonian University. All rights reserved