Transitions of the density of states in cylindrical quantum box

We study the density of states in a cylindrical quantum box formed by a cylindrical penetrable barrier and a planer penetrable double barrier perpendicular to the cylinder. The control of the cylindrical barrier thickness or height is found to cause the 3D-Q1D and Q2D-QOD transitions if the strength of the planer double barrier is zero and infinity, respectively. In the transient regime of the 3D-Q1D (Q2D-QOD) transition, we found the presence of the Q2D (Q1D) like crossover regime, in which the tunneling motion through the cylindrical barrier is interpreted to provide the "free" degree of freedom to the DOS.