In the strong quantization regime the single-particle states in quantum
heterostructures core/layer/clad in conditions when the localization of charge carriers in
the layer-component of composition takes place, are considered. Investigation was
conducted both in the absence of an external field and in the presence of weak and
strong homogeneous electrostatic fields as well as when the radially symmetric electric
field is present. In the case of weak fields the confinement Stark effect in the layer is
considered. Correspondingly, the energy shifts of the radial and orbital motions of
charge carriers in the layer and corresponding perturbated envelope single-electron
wave functions are calculated under the external homogeneous electrical field. The
calculations are carried out separately for both cases of perturbation of the radial and
orbital motions of charge carriers in the layer. The influence of a strong homogeneous
electric field on the states of charge carriers in the structure of quantum dot-quantum
well (QDQW) is studied theoretically. It is shown that a strong external field changes
radically the character of carrier motion in the structure and leads to an additional fieldlocalization
of the particle along the polarangle variable. An explicit form of the wave
functions and energy spectrum of single-particle states in the structure in the presence
of an external field is obtained. The possibilities of experimental and operational
applications of the theoretical results obtained for the study of core/layer/shell
structures as well as of hollow spheres are also shown. Explicit analytical expressions
for the energy spectrum and the envelope wave functions in the presence of a source of
the radial electrostatic field in the center of the heterostructure are obtained. The
quantitative estimations for concrete CdS/HgS/CdS structure are given as well.
Keywords: Adiabatic approximation, Boundary conditions, Effective mass,
Electric field, Energy spectrum, Moderate field, Perturbation theory, Probability
distribution, Quantized layer, Quantum dot, Quantum well, Radial field, Space
separation, Stark-effect, Strong field, Strong quantization, Uniform field,
Variation method, Wave function, Weak field, WKB-approximation.
