The investigation of nanosystems and their utilization have been opened the range of new scientific problems. The particular interest is devoted to the specific properties of electrons, holes, excitons at the media interfaces. In the nanoheterosystems created on the base of quantum wires and systems of other dimensions there arise the unique physical properties due to which the latter are utilized for the creation of injector lasers, optical modulators and single-electron devices.
The theory of single cylindrical quantum wires is developed in details till now, but the influence of outer magnetic field at the physical properties of such systems is not studied rather well yet.
In this paper the influence of outer magnetic field into the electron and hole energy spectra in complicated cylindrical semiconductor nanoheterosystem consisting of the core (CdS) in the shell (HgS) embedded into the massive medium (CdS) is under study. Herein the electrons and holes can be in the bound quasistacionary states with the finite lifetimes. At the fixed thickness of the potential barrier there is the number of levels of size quantization due to the probability of penetration through the barrier is bigger for the higher energy levels.
The closed nanosystem CdS/HgS with the finite and infinite potential barriers is studied at the presence of the magnetic field too. The electron and hole wave functions are obtained as the solutions of stationary Schrodinger equation. The analytical expression for the S-matrix is derived within the effective mass approximation. The dependences of electron and hole energy spectra on the magnitude of the magnetic field and geometrical sizes of nanosystem are calculated. The exciton lifetimes are evaluated too. It is shown that the electron energy is bigger, the smaller is the radius of quantum wire. Herein the magnetic field holds the electron near the quantum wire axis.

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1. Evolution Of Quasistationary Electron Spectra In Nanofilm Systems: Quantum Wells And Quantum Dots
2. Electron, hole and exciton spectra in opened cylindrical quantum dots embedded into the media of different dimension
3. Phonon spectra in quantum dots, quantum wires and nanosystems created of them