Title: Electron energy spectrum in core-shell elliptic quantum wire
Author(s):

	V.Holovatsky (Fedkovych Chernivtsi National University, 2, Kotsyubinskoho St.,Chernivtsi, 58012, Ukraine) ,
	V.Gutsul (Fedkovych Chernivtsi National University, 2, Kotsyubinskoho St.,Chernivtsi, 58012, Ukraine)

The electron energy spectrum in core-shell elliptic quantum wire and elliptic semiconductor nanotubes are investigated within the effective mass approximation. The solution of Schrodinger equation based on the Mathieu functions is obtained in elliptic coordinates. The dependencies of the electron size quantization spectrum on the size and shape of the core-shell nanowire and nanotube are calculated. It is shown that the ellipticity of a quantum wire leads to break of degeneration of quasiparticle energy spectrum. The dependences of the energy of odd and even electron states on the ratio between semiaxes are of a nonmonotonous character. The anticrosing effects are observed at the dependencies of electron energy spectrum on the transversal size of the core-shell nanowire.

Key words: elliptic quantum wire, elliptic nanotube, energy spectrum
PACS: 73.21.Fg, 73.21.Hb, 73.21.La