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The recently invented cylindrical geometric space defect is applied to theelectron behaviour in the system which can be regarded as a simplified model ofa double-wall nanotube. By solving the Schrodinger equation in the region ofspace with cylindrical geometric defect we explore the influence of suchgeometric defect on the energy gap and charge distribution. The effect isqualitatively similar to the one obtained earlier by means of traditionalsimulation methods. In general, the geometric approach can not compete with theknown methods of theoretical study of the nanostructures, such as moleculardynamics. However it may be useful for better qualitative understanding of theelectronic properties of the nanosystems.

Schrodinger equation in the space with cylindrical geometric defect and possible application to multi-wall nanotubes