Cylindrical quantum well of finite depth in external magnetic field
  Energy spectrum of an electron confined by finite hard-wall potential in a cylinder quantum dot placed in weak (up to 100 kOe) homogeneous external magnetic field were calculated using the method of variation of vector potential. Electronic motion along the cylinder axis is limited by one-dimensional infinite potential barrier and electronic motion on the plane perpendicular to the axis is limited by two-dimensional finite potential barrier. 
O. R. Lobanova, A. I. Ivanov