Title: Effect of magnetic field on electron spectrum in spherical nano-structures
Author(s):

	V. Holovatsky (Chernivtsi National University, 2, Kotsiubynsky St., 58012 Chernivtsi, Ukraine)
	O. Voitsekhivska (Chernivtsi National University, 2, Kotsiubynsky St., 58012 Chernivtsi, Ukraine)
	I. Bernik (Chernivtsi National University, 2, Kotsiubynsky St., 58012 Chernivtsi, Ukraine)

The influence of the magnetic field on energy spectrum and wave functions of electron in spherical nano-structures such as single quantum dot and spherical layer is investigated. It is shown that the magnetic field takes off the spectrum degeneration with respect to the magnetic quantum number. Increasing magnetic field induction entails the monotonous character of electron energy for the states with m ≥ 0 and non-monotonous one for the states with m < 0. The electron wave functions of the ground and few excited states are studied considering the influence of the magnetic field. It is shown that 1s and 1p states are degenerated in the spherical layer driven by the strong magnetic field. In the limit case, the series of size-quantized levels produce the Landau levels which are typical for the bulk crystals.

Key words: electron spectrum, quantum dot, spherical layer, magnetic field
PACS: 73.21.La, 73.21.-b

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